Abe, T. Strange duality for parabolic symplectic bundles on a pointed projective line, Int. Math. Res. Not., Art. ID rnn121 (2008).Google Scholar

Abe, T. Deformation of rank 2 quasi-bundles and some strange dualities for rational surfaces, Duke Math. J. 155, 577–620 (2010).Google Scholar

Abe, T. Strange duality for height zero moduli spaces of sheaves on P², Michigan Math. J. 64, 569–586 (2015).Google Scholar

Agnihotri, S. and Woodward, C. Eigenvalues of products of unitary matrices and quantum Schubert calculus, Math. Res. Lett. 5, 817–836 (1998).Google Scholar

Agrebaoui, B. Standard modules and standard modules of level one, J. Pure Appl. Alg. 102, 235–241 (1995).CrossRefGoogle Scholar

Alekseev, A., Meinrenken, E. and Woodward, C. Formulas of Verlinde type for non-simply connected groups, ArXiv: math/0005047 (2000).Google Scholar

Altschuler, D., Bauer, M. and Itzykson, C. The branching rules of conformal embeddings, Comm. Math. Phys. 132, 349–364 (1990).Google Scholar

Anchouche, B., Azad, H. and Biswas, I. Harder–Narasimhan reduction for principal bundles over a compact Kähler manifold, Math. Ann. 323, 693–712 (2002).Google Scholar

Arbarello, E., Cornalba, M., Griffiths, P. and Harris, J. Geometry of Algebraic Curves, vol. I. Springer-Verlag, Berlin, 1985.Google Scholar

Arbarello, E., Cornalba, M., Griffiths, P. and Harris, J. Geometry of Algebraic Curves vol. II. Grundlehren der Mathematischen Wissenschaften, vol. 268. Springer, New York, 2011.Google Scholar

Atiyah, M. F. Vector bundles over an elliptic curve, Proc. London Math. Soc. (Third Series) 7, 412–452 (1957).Google Scholar

Atiyah, M. F. and Bott, R. The Yang–Mills equations over Riemann surfaces, Phil. Trans. Roy. Soc. London A 308, 523–615 (1982).Google Scholar

Atiyah, M.F. and Macdonald, I.G. Introduction to Commutative Algebra. Addison– Wesley, Boston, MA, 1969.Google Scholar

Baier, T., Bolognesi, M., Martens, J. and Pauly, , C, . The Hitchin connection in arbitrary chracteristic, ArXiv: 2002-12288 (Math. AG) (2020).Google Scholar

Bais, F.A. and Bouwknegt, P.G. A classification of subgroup truncations of the Bosonic string, Nuclear Phys. B 279, no. 3–4, 561–570 (1987).Google Scholar

Bakalov, B. and Kirillov, Jr., A. Lectures on Tensor Categories and Modular Functors. University Lecture Series, vol. 21. American Mathematical Society, Providence, RI, 2001.Google Scholar

Balaji, V., Biswas, I. and Nagaraj, D.S. Principal bundles over projective manifolds with parabolic structure over a divisor, Tohoku Math. J. 53, 337–367 (2001).CrossRefGoogle Scholar

Balaji, V., Biswas, I. and Pandey, Y. Connections on parahoric torsors over curves, Publ. RIMS 53, 551–585 (2017).Google Scholar

Balaji, V. and Parameswaran, A.J. Semistable principal bundles-II (positive characteristics), Transformation Groups 8, 3–36 (2003).Google Scholar

Balaji, V. and Seshadri, C.S. Moduli of parahoric G-torsors on a compact Riemann surface, J. Alg. Geom. 24, 1–49 (2015).Google Scholar

Baldoni, V., Boysal, A. and Vergne, M. Multiple Bernoulli series and volumes of moduli spaces of flat bundles over surfaces, J. Symbolic Computation 68, 27–60 (2015).Google Scholar

Barlet, D. and Magnússon, J. Cycles Analytiques complexes I: Théorèmes de Préparation des Cycles, Publication Société Mathématique de France, Cours Spécialisés 22 (2014).Google Scholar

Beauville, A. Conformal blocks, fusion rules and the Verlinde formula, Israel Math. Conf. Proc.,vol.9, 75–96 (1996).Google Scholar

Beauville, A. The Verlinde formula for PGL_p, Adv. Ser. Math. Phys., vol.24, 141–151 (1997).Google Scholar

Beauville, A. Orthogonal bundles on curves and theta functions, Ann. Inst. Fourier (Grenoble) 56, 1405–1418 (2006).Google Scholar

Beauville, A. and Laszlo, Y. Conformal blocks and generalized theta functions, Commun. Math. Phys. 164, 385–419 (1994).Google Scholar

Beauville, A. and Laszlo, Y. Un lemme de descente, C.R. Acad. Sci. Paris 320, 335–340 (1995).Google Scholar

Beauville, A., Laszlo, Y. and Sorger, C. The Picard group of the moduli of G-bundles on a curve, Compositio Math. 112, 183–216 (1998).Google Scholar

Beauville, A, Narasimhan, M.S. and Ramanan, , S. Spectral curves and the generalised theta divisor, J. Reine Angew. Math. 398, 169–179 (1989).Google Scholar

Behrend, K. A. The Lefschetz trace formula for the moduli stack of principal bundles, PhD thesis, University of California at Berkeley, 1991.Google Scholar

Behrend, K. A. Semi-stability of reductive group schemes over curves, Math. Ann. 301, 281–305 (1995).Google Scholar

Beilinson, A., Bloch, S. and Esnault, H. ɛ-factors for Gauss–Manin determinants, Moscow Mathematical Journal 2, 477–532 (2002).Google Scholar

Beilinson, A. and Drinfeld, V. Quantization of Hitchin’s integrable system and Hecke eigensheaves, Preprint (1994).Google Scholar

Beilinson, A., Feigin, B. and Mazur, B. Introduction to algebraic field theory on curves, Preprint (1990).Google Scholar

Beilinson, A. and Ginzburg, V. Infinitesimal structure of moduli spaces of G-bundles, International Math. Res. Notices,Issue 4, 63–74 (1992).Google Scholar

Beilinson, A. and Kazhdan, D. Flat projective connections, Preprint (1990).Google Scholar

Beilinson, A. and Schechtman, V. Determinant bundles and Virasoro algebras, Commun. Math. Phys. 118, 651–701 (1988).Google Scholar

Belkale, P. Local systems on P¹ − S for S a finite set, Compositio Math. 129, 67–86 (2001).Google Scholar

Belkale, P. Invariant theory of GL(n) and intersection theory of Grassmannians, Int. Math.Res.Not. 2004, 3709–3721 (2004a).Google Scholar

Belkale, P. Transformation formulas in quantum cohomology, Compos. Math. 140, 778–792 (2004b).Google Scholar

Belkale, P. Quantum generalization of the Horn conjecture, J. Amer. Math. Soc. 21, 365–408 (2008a).Google Scholar

Belkale, P. The strange duality conjecture for generic curves, J. Amer. Math. Soc. 21, 235–258 (2008b).CrossRefGoogle Scholar

Belkale, P. Strange duality and the Hitchin/WZW connection, J. Differential Geom. 82, 445–465 (2009).Google Scholar

Belkale, P. Orthogonal bundles, theta characteristics and symplectic strange duality, Contemp. Math. 564, 185–193 (2012a).Google Scholar

Belkale, P. Unitarity of the KZ/Hitchin connection on conformal blocks in genus 0 for arbitrary Lie algebras, J. Math. Pures Appl. 98, 367–389 (2012b).Google Scholar

Belkale, P. and Fakhruddin, N. Triviality properties of principal bundles on singular curves, Algebr. Geom. 6, 234–259 (2019).Google Scholar

Belkale, P., Gibney, A. and Mukhopadhyay, S. Vanishing and identities of conformal blocks divisors, Algebr. Geom. 2, 62–90 (2015).Google Scholar

Belkale, P., Gibney, A. and Mukhopadhyay, S. Nonvanishing of conformal blocks divisors on ¯M_0,n, Transformation Groups 21, 329–353 (2016).Google Scholar

Belkale, P. and Kumar, S. The multiplicative eigenvalue problem and deformed quantum cohomology, Advances in Math. 288, 1309–1359 (2016).Google Scholar

Beltrametti, M. and Robbiano, L. Introduction to the theory of weighted projective spaces, Expo. Math. 4, 111–162 (1986).Google Scholar

Berline, N., Getzler, E. and Vergne, M. Heat Kernels and Dirac Operators. Grundlehren Text Editions. Springer. New York, 2004.Google Scholar

Bernshtein, I.N. and Shvartsman, O.V. Chevalley’s theorem for complex crystallographic Coxeter groups, Functional Analysis and its Applications 12, 308–310 (1978).Google Scholar

Bertram, A. Generalized SU(2) theta functions, Invent. Math. 113, 351-372 (1993).Google Scholar

Bertram, A. and Szenes, A. Hilbert polynomials of moduli spaces of rank 2 vector bundles II, Topology 32, 599-609 (1993).Google Scholar

Bhosle, U. and Ramanathan, A. Moduli of parabolic G-bundles on curves, Math. Z. 202, 161–180 (1989)Google Scholar

Bialynicki-Birula, A. and Swiecicka, J. A reduction theorem for existence of good quotients, Amer. J. Math. 113, 189–201 (1991).Google Scholar

Bismut, J.-M. and Labourie, F. Symplectic geometry and the Verlinde formulas, Surveys in Differential Geometry 5, 97–311 (1999).Google Scholar

Biswas, I. Parabolic bundles as orbifold bundles, Duke Math. J. 88, 305–325 (1997).Google Scholar

Biswas, I. A criterion for the existence of a parabolic stable bundle of rank two over the projective line, International Journal of Mathematics 9, 523–533 (1998).Google Scholar

Biswas, I. and Holla, Y. I. Harder–Narasimhan reduction of a principal bundle, Nagoya Math. J. 174, 201–223 (2004).Google Scholar

Biswas, I. and Holla, Y. I. Principal bundles whose restriction to curves are trivial, Math. Z. 251, 607–614 (2005).Google Scholar

Biswas, I. and Ramanan, S. An infinitesimal study of the moduli of Hitchin pairs, J. London Math. Soc. 49, 219–231 (1994).Google Scholar

Biswas, I. and Raghavendra, N. Determinants of parabolic bundles on Riemann surfaces, Proc. of the Indian Academy of Sciences - Mathematical Sciences 103, 41–71 (1993).Google Scholar

Boden, H. Representations of orbifold groups and parabolic bundles, Comment. Math. Helvetici 66, 389–447 (1991).Google Scholar

Borel, A. Linear Algebraic Groups, 2nd enlarged edn. Graduate Texts in Mathematics, vol. 126. Springer, New York, 1991.Google Scholar

Bott, R. An application of the Morse theory to the topology of Lie-groups, Bull. Soc. Math. France 84, 251–281 (1956).Google Scholar

Bott, R. and Samelson, H. Applications of the theory of Morse to symmetric spaces, Am.J.Math. 80, 964–1029 (1958).Google Scholar

Bourbaki, N. Lie Groups and Lie Algebras, Chap. 4–6, Springer, New York, 2002.Google Scholar

Bourbaki, N. Lie Groups and Lie Algebras, Chap. 7–9, Springer, New York, 2005.Google Scholar

Boutot, J.-F. Singularités rationnelles et quotients par les groupes ŕeductifs, Invent. Math. 88, 65-68 (1987).Google Scholar

Boysal, A. Nonabelian theta functions of positive genus, Proc. A.M.S. 136, 4201–4209 (2008).Google Scholar

Boysal, A. and Kumar, S. Explicit determination of the Picard group of moduli spaces of semistable G-bundles on curves, Math. Ann. 332, 823–842 (2005).Google Scholar

Boysal, A. and Kumar, S. A conjectural presentation of fusion algebras. Advanced Studies in Pure Math. vol. 54 (Algebraic Analysis and Around), 95–107 (2009).Google Scholar

Boysal, A. and Pauly, C. Strange duality for Verlinde spaces of exceptional groups at level one, Int. Math. Res. Not., Issue 4, 595–618 (2010).Google Scholar

Boysal, A. and Vergne, M. Multiple Bernoulli series, an Euler–Maclaurin formula, and wall crossings, Ann. Inst. Fourier, Grenoble 62, 821–858 (2010).Google Scholar

Bremner, M. R., Moody, R.V. and Patera, J. Tables of Dominant Weight Multiplicities for Representations of Simple Lie Algebras, Marcel Dekker, New York, 1985.Google Scholar

Bröcker, T. and tom, Dieck, T. Representations of Compact Lie Groups. Graduate Texts in Mathematics, vol. 98. Springer, New York, 1985.CrossRefGoogle Scholar

Bruguieres, A. Filtration de Harder-Narasimhan et stratification de Shatz, in: Module des Fibrés Stables sur les Courbes Algébriques. Progress in Mathematics, vol. 54. Birkhäuser, Basel, pp. 83–106 (1985).Google Scholar

Cartan, H. Quotient d’un espace analytique par un groupe d’automorphismes, in: Algebraic Geometry and Topology (A Symposium in Honor of S. Lefschetz, Princeton, NJ), 90–102 (1957).Google Scholar

Cartan, H. and Eilenberg, S. Homological Algebra. Princeton University Press, Princeton, NJ, 1956.Google Scholar

Cellini, P., Kac, V.G., Möseneder, F.P. and Papi, P. Decomposition rules for conformal pairs associated to symmetric spaces and abelian subalgebras of Z₂-graded Lie algebras, Adv. Math. 207, 156–204 (2006).Google Scholar

Chevalley, C. and Eilenberg, S. Cohomology theory of Lie groups and Lie algebras, Trans. Amer. Math. Soc. 63, 85–124 (1948).Google Scholar

Chriss, N. and Ginzburg, V. Representation Theory and Complex Geometry.Birkhäuser, Basel, 1997.Google Scholar

Conrad., B., Gabber, O. and Prasad, G. Pseudo-reductive Groups, 2nd edn. Cambridge University Press, Cambridge, 2015.Google Scholar

Damiolini, C. Conformal blocks attached to twisted groups, Math. Z. 295, 1643–1681 (2020).Google Scholar

Damiolini, C., Gibney, A. and Tarasca, N. On factorization and vector bundles of conformal blocks from vertex algebras, ArXiv: 1909.04683 v2 (2019).Google Scholar

Damiolini, C., Gibney, A. and Tarasca, N. Vertex algebras of cohFT-type, ArXiv: 1910.01658 v2 (2020).Google Scholar

Daskalopoulos, G. and Wentworth, R. Local degeneration of the moduli space of vector bundles and factorization of rank two theta functions. I, Math. Ann. 297, 417–466 (1993).Google Scholar

Daskalopoulos, G. and Wentworth, R. Factorization of rank two theta functions. II: proof of the Verlinde formula, Math. Ann. 304, 21–51 (1996). Deligne, P. Cohomologie Etale, SGA 4 ¹₂ , Springer Lecture Notes in Mathematics, vol. 569. Springer, New York, 1977.Google Scholar

Deligne, P. and Mumford, D. The irreducibility of the space of curves of a given genus, Publications Math. IHES 36, 75–109 (1969).Google Scholar

Demazure, M. and Gabriel, P. Introduction to Algebraic Geometry and Algebraic Groups. North-Holland Mathematics Studies, vol. 39. North-Holland, Amsterdam, 1980.Google Scholar

Demazure, M. and Grothendieck, A. Schémas en groupes, SGA III. Lecture Notes in Mathematics, vol. 153. Springer, New York, 1970.Google Scholar

Dolgachev, I. Weighted projective varieties, in: Group Actions and Vector Fields. Springer Lecture Notes in Mathematics, vol. 956, 34–71. Springer, New York, 1982.Google Scholar

Donagi, R. and Tu, L. W. Theta functions for SL(n) versus GL(n), Math. Res. Lett. 1, 345–357 (1994).Google Scholar

Donaldson, S.K. A new proof of a theorem of Narasimhan and Seshadri, J. Diff. Geom. 18, 269–277 (1983).Google Scholar

Douady, A. Le problème des modules pour les variétés analytiques complexes, Séminaire Bourbaki, Exposé 277, anneés 1964–65 (1966).Google Scholar

Drezet, J.–M. and Narasimhan, M.S. Groupe de Picard des variétés de modules de fibrés semi-stables sur les courbes algébriques, Invent. Math. 97, 53–94 (1989).Google Scholar

Drinfeld, V. and Simpson, C. B-structures on G-bundles and local triviality, Math. Res. Letters 2, 823–829 (1995).Google Scholar

Dynkin, E.B. Semisimple subalgebras of semisimple Lie algebras, Am. Math. Soc. Transl. (Ser. II) 6, 111–244 (1957).Google Scholar

Edixhoven, B. Néron models and tame ramification, Compositio Math. 81, 291–306 (1992).Google Scholar

Eisenbud, D. Commutative Algebra with a View Toward Algebraic Geometry. Graduate Texts in Mathematics, vol. 150. Springer, New York, 1995.Google Scholar

Eisenbud, D. and Harris, J. The Geometry of Schemes. Graduate Texts in Mathematics, vol. 197. Springer, New York, 2000.Google Scholar

Fakhruddin, N. Chern classes of conformal blocks, Contemp. Math. 564, 145–176 (2012).Google Scholar

Faltings, G. Stable G-bundles and projective connections, J. Alg. Geom. 2, 507–568 (1993).Google Scholar

Faltings, G. A proof for the Verlinde formula, J. Alg. Geom. 3, 347–374 (1994).Google Scholar

Faltings, G. Algebraic loop groups and moduli spaces of bundles, J. Eur. Math. Soc. 5, 41–68 (2003).Google Scholar

Faltings, G. Theta functions on moduli spaces of G-bundles, J. Alg. Geom. 18, 309–369 (2009).Google Scholar

Fantechi, B. Stacks for everybody, in: Progress in Mathematics vol. 201. Birkhäuser, Basel, 2001.CrossRefGoogle Scholar

Feigin, B.L., Schechtman, V.V. and Varchenko, A.N. On algebraic equations satisfied by correlators in Wess–Zumino–Witten models, Letters in Mathematical Physics 20, 291–297 (1990).Google Scholar

Fontaine, Jean-Marc. Groupes p-divisible sur les corps locaux, Astérisque Bd. 47/48, Publication Société Mathématique de France, 1977.Google Scholar

Friedman, R., Morgan, J.W. and Witten, E. Principal G-bundles over elliptic curves, Mathematical Research Letters 5, 97–118 (1998).Google Scholar

Fuchs, J. and Schweigert, C. A representation theoretic approach to the WZW Verlinde formula, ArXiv: hep-th/9707069 (1997).Google Scholar

Fulton, W. Intersection Theory, 2nd edn. Springer, New York, 1998.Google Scholar

Fulton, W. and Pandharipande, R. Notes on stable maps and quantum cohomology, in: Algebraic Geometry—Santa Cruz 1995, Proc. Sympos. Pure Math. 62, Part 2, 45–96 (1997).Google Scholar

Furuta, M. and Steer, B. Seifert fibred homology 3-spheres and the Yang–Mills equations on Riemann surfaces with marked points, Adv. Math. 96, 38–102 (1992).Google Scholar

Garland, H. The arithmetic theory of loop groups, Publ. Math. IHES 52, 5–136 (1980).Google Scholar

Garland, H. and Lepowsky, J. Lie algebra homology and the Macdonald–Kac formulas, Invent. Math. 34 , 37–76 (1976).Google Scholar

Garland, H. and Raghunathan, M.S. A Bruhat decomposition for the loop space of a compact group: A new approach to results of Bott, Proc. Natl. Acad. Sci. USA 72, 4716–4717 (1975).Google Scholar

van Geemen, B. and de Jong, A.J. On Hitchin’s connection, J. Am. Math. Soc. 11, 189–228 (1998).Google Scholar

Ginzburg, V. Resolution of diagonals and moduli spaces, in: The Moduli Space of Curves. Progress in Mathematics, vol. 129. Birkhäuser, Basel, 231–266 (1995).Google Scholar

Goddard, P., Kent, A. and Olive, D. Virasoro algebras and coset space models, Physics Letters B152, 88–92 (1985).Google Scholar

Goodman, R. and Wallach, N.R. Symmetry, Representations, and Invariants. Graduate Texts in Mathematics, vol. 255. Springer, New York, 2009.Google Scholar

Goodman, F.M. and Wenzl, H. Littlewood–Richardson coefficients for Hecke algebras at roots of unity, Adv. Math. 82, 244–265 (1990).Google Scholar

Grauert, H. and Riemenschneider, O. Verschwindungssätze für analytische Kohomologiegruppen auf Komplexen Raümen, Lecture Notes in Mathematics, vol. 155. Springer, New York, 1970.Google Scholar

Grégoire, C. and Pauly, C. The space of generalized G₂-theta functions of level 1, Michigan Math. J. 62, 857–867 (2013).Google Scholar

Griffiths, P. and Harris, J. Principles of Algebraic Geometry. Wiley, Chichester, 1978.Google Scholar

Grothendieck, A. Sur le mémoire de Weil. “généralisation des fonctions abéliennes”, Séminaire Bourbaki, Exposé 141, pp. 57–71, 1956–57.Google Scholar

Grothendieck, A. Techniques de construction et théorèmes d’existence en géometérie algébrique IV: Les schémas de Hilbert, Séminaire Bourbaki, Exposés 205–222, talk 221, pp. 249–276, 1960–61.Google Scholar

Grothendieck, A. Éléments de géométrie algébrique: I, Publications Math. IHES 4, pp. 5–228 (1960).Google Scholar

Grothendieck, A. Éléments de géométrie algébrique II, Publications Math. IHES 8, pp. 5–222, (1961a).Google Scholar

Grothendieck, A. Éléments de géométrie algébrique III (Première Partie), Publications Math. IHES 11, pp. 5–167 (1961b).Google Scholar

Grothendieck, A. Éléments de géométrie algébrique: IV (Seconde Partie), Publications Math. IHES 24, pp. 5–231(1965).Google Scholar

Grothendieck, A. Éléments de géométrie algébrique: IV (Quatrième Partie), Publications Math. IHES 32, pp. 5–361 (1967).Google Scholar

Grothendieck, A. Revêtements Étales et Groupe Fondamental (SGA 1). Lecture Notes in Mathematics, vol. 224. Springer, New York, 1971.Google Scholar

Harder, G. Halbeinfache gruppenschemata über Dedekindringen, Invent. Math. 4, 165–191 (1967).Google Scholar

Harder, G. Halbeinfache gruppenschemata über vollständigen kurven, Invent. Math. 6, 107–149 (1968).Google Scholar

Harder, G. and Narasimhan, M.S. On the cohomology groups of moduli spaces of vector bundles on curves, Math. Ann. 212, 215–248 (1975).CrossRefGoogle Scholar

Harris, J. and Morrison, I. Moduli of Curves. Graduate Texts in Mathematics, vol. 187. Springer, New York, 1998.Google Scholar

Hartshorne, R. Algebraic Geometry. Graduate Texts in Mathematics, vol. 52. Springer-Verlag, New York, 1977.Google Scholar

Hasegawa, K. Spin module versions of Weyl’s reciprocity theorem for classical Kac– Moody Lie algebras—an application to branching rule duality, Publ. Res. Inst. Math. Sci. 25, 741–828 (1989).Google Scholar

Hatcher, A. Algebraic Topology. Cambridge University Press, Cambridge, 2001.Google Scholar

Heinloth, J. Bounds for Behrend’s conjecture on the canonical reduction, Int. Math. Res. Not., Issue 9 (2008).Google Scholar

Heinzner, P. and Kutzschebauch, F. An equivariant version of Grauert’s Oka principle, Invent. Math. 119, 317–346 (1995).Google Scholar

Helgason, S. Differential Geometry, Lie Groups, and Symmetric Spaces. Academic Press, New York, 1978.Google Scholar

Hilton, P.J. and Stammbach, U. A. Course in Homological Algebra, 2nd edn. Graduate Texts in Mathematics, vol. 4. Springer, New York, 1997.Google Scholar

Hitchin, N. Flat connections and geometric quantization, Commun. Math. Phys. 131, 347–380 (1990).Google Scholar

Hochschild, G. and Serre, J-P. Cohomology of group extensions, Trans. Amer. Math. Soc. 74, 110–134 (1953).Google Scholar

Hong, J. and Kumar, S. Conformal blocks for Galois covers of algebraic curves, ArXiv: 1807.00118 v3 (2019).Google Scholar

Hotta, R., Takeuchi, K. and Tanisaki, T. D-Modules, Perverse Sheaves, and Representation Theory. Progress in Mathematics, vol. 236. Birkhäuser, Basel, 2008.Google Scholar

Huang, Y.-Z. Vertex operator algebras and the Verlinde conjecture, Comm. Contemp. Math. 10, 103–154 (2008).Google Scholar

Humphreys, J.E. Introduction to Lie Algebras and Representation Theory. Graduate Texts in Mathematics, vol. 9. Springer, New York, 1972.Google Scholar

Humphreys, J.E. Conjugacy Classes in Semisimple Algebraic Groups. American Mathematical Society, Providence, RI, 1995.Google Scholar

Hurtubise, J.C. Holomorphic maps of a Riemann surface into a flag manifold, J. Diff. Geom. 43, 99–118 (1996).Google Scholar

Illusie, L. Grothendieck’s existence theorem in formal geometry, in: Fundamental Algebraic Geometry- Grothendieck’s FGA Explained (edited by B. Fantechi et al.), Mathematical Surveys and Monographs, vol. 123. American Mathematical Society, Providence, RI, 181–233 (2005).Google Scholar

Iwahori, N. and Matsumoto, H. On some Bruhat decomposition and the structure of the Hecke rings of p–adic Chevalley groups, Publ. Math. IHES 25, 5–48 (1965).Google Scholar

Jantzen, J.C. Representations of Algebraic Groups, 2nd edn. American Mathematical Society, Providence, RI, 2003.Google Scholar

Jeffrey, L. and Kirwan, F. Intersection theory on moduli spaces of holomorphic bundles of arbitrary rank on a Riemann surface, Ann. of Math. 148, 101–196 (1998).Google Scholar

Jones, G.A. and Singerman, D. Complex Functions. Cambridge University Press, Cambridge, 1987.Google Scholar

Kac, V.G. Highest weight representations of infinite-dimensional Lie algebras, in: Proceeding of ICM, Helsinki, 299–304 (1978).Google Scholar

Kac, V.G. Infinite Dimensional Lie Algebras, 3rd edn. Cambridge University Press, Cambridge, 1990.Google Scholar

Kac, V.G. and Peterson, D.H. Spin and wedge representations of infinite-dimensional Lie algebras and groups, Proc. Nat. Acad. Sci. U.S.A. 78, 3308–3312 (1981).Google Scholar

Kac, V.G., Raina, A.K. and Rozhkovskaya, N. Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras, 2nd edn. Advanced Series in Mathematical Physics, vol. 29. World Scientific, Singapore, 2013.Google Scholar

Kac, V.G. and Sanielevici, M.N. Decompositions of representations of exceptional affine algebras with respect to conformal subalgebras, Phys. Rev. D 37, 2231–2237 (1988)Google Scholar

Kac, V.G. and Wakimoto, M. Modular and conformal invariance constraints in representation theory of affine algebras, Adv. Math. 70, 156–236 (1988).Google Scholar

Kazhdan, D. and Lusztig, G. Schubert varieties and Poincaré duality, Proc. Symp. Pure Math. (A.M.S.) 36, 185–203 (1980).Google Scholar

Kazhdan, D. and Lusztig, G. Tensor structures arising from affine Lie algebras. I, J. Am. Math. Soc. 6, 905–947 (1993).Google Scholar

Kempf, G. The Grothendieck–Cousin complex of an induced representation, Advances in Math. 29, 310–396 (1978).Google Scholar

Kirwan, F. The cohomology rings of moduli spaces of bundles over Riemann surfaces, J. Am. Math. Soc. 5, 853–906 (1992).Google Scholar

Knapp, A.W. Lie Groups Beyond an Introduction, 2nd edn. Progress in Mathematics, vol. 140, Birkhäuser, Basel, 2002.Google Scholar

Knudsen, F. The projectivity of the moduli space of stable curves, II: The stacks M_g,n, Math. Scand. 52, 161–199 (1983a).Google Scholar

Knudsen, F. The projectivity of the moduli space of stable curves, III: The line bundles on M_g,n, and a proof of the projectivity of ¯M_g,n in charactristic 0, Math. Scand. 52, 200–212 (1983b).Google Scholar

Knudsen, F. and Mumford, D. The projectivity of the moduli space of stable curves I: preliminaries on “det” and “div”, Math. Scand. 39, 19–55 (1976).Google Scholar

Kobayashi, S. and Nomizu, K. Foundations of Differential Geometry, vol. II. Wiley-Interscience, New York 1969.Google Scholar

Kodaira, K. and Spencer, D.C. On deformations of complex analytic structures, I, Annals of Math. 67, 328–401 (1958a).Google Scholar

Kodaira, K. and Spencer, D.C. A theorem of completeness for complex analytic fiber spaces, Acta Math. 100, 281–294 (1958b).Google Scholar

Kollár, J. Rational Curves on Algebraic Varieties. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol. 32. Springer-Verlag, Berlin, 1996.Google Scholar

Kontsevich, M. and Manin, Yu. Gromov–Witten classes, quantum cohomology, and enumerative geometry, Commun. Math. Phys. 164, 525–562 (1994).Google Scholar

Kostant, B. Powers of the Euler product and commutative subalgebras of a complex simple Lie algebra, Invent Math. 158, 181–226 (2004).Google Scholar

Koszul, J.L. Lectures on Fibre Bundles and Differential Geometry. Tata Institute of Fundamental Research Lecture Notes, Bombay, 1960.Google Scholar

Kraft, H. Algebraic automorphisms of affine space, in: Proceedings of the Hyderabad Conference on Algebraic Groups (edited by S. Ramanan), Manoj Prakashan, 251–274 (1991).Google Scholar

Krepski, D. and Meinrenken, E. On the Verlinde formulas for SO(3)-bundles, Quarterly J. Math. 64, 235–252 (2013).Google Scholar

Kresch, A. Algebraic Stacks http://home.kias.re.kr/MKG/h/AlgebraicStacks/ (2007)Google Scholar

Kumar, S. Rational homotopy theory of flag varieties associated to Kac–Moody groups, in: Infinite-dimensional Groups with Applications. MSRI Publication 4. Springer-Verlag, Berlin, 233–273 (1985).Google Scholar

Kumar, S. Demazure character formula in arbitrary Kac–Moody setting, Invent. Math. 89, 395–423 (1987).Google Scholar

Kumar, S. Infinite Grassmannians and moduli spaces of G–bundles, in: Vector Bundles on Curves - New Directions. Lecture Notes in Mathematics, vol. 1649. Springer-Verlag, Berlin, 1–49, 1997a.Google Scholar

Kumar, S. Fusion product of positive level representations and Lie algebra homology, in: Geometry and Physics (edited by J. E. Andersen et al.). Lecture Notes in Pure and Applied Mathematics, vol. 184. Marcel Dekker, New York, 253–259, 1997b.Google Scholar

Kumar, S. Kac–Moody Groups, their Flag Varieties and Representation Theory. Progress in Mathematics, vol. 204. Birkhäuser, Basel, 2002.Google Scholar

Kumar, S. and Narasimhan, M.S. Picard group of the moduli spaces of G-bundles, Math. Ann. 308, 155–173 (1997).Google Scholar

Kumar, S., Narasimhan, M.S. and Ramanathan, A. Infinite Grassmannians and moduli spaces of G–bundles, Math. Ann. 300, 41–75 (1994).Google Scholar

Kuniba, A. and Nakanishi, T. Level-rank duality in fusion RSOS models, Modern quantum field theory, Bombay Quantum Field Theory, 344–374 (1991).Google Scholar

Kuranishi, M. Two elements generations on semi-simple Lie groups, Kôdai Math. Sem. Report 5–6, 9–10 (1949).Google Scholar

Lang, S. Algebra. Addison-Wesley, New York, 1965.Google Scholar

Lang, S. Introduction to Arakelov Theory. Springer, New York, 1988.Google Scholar

Laszlo, Y. A propos de l’espace des modules de fibrés de rang 2 sur une courbe, Math. Ann. 299, 597–608 (1994).Google Scholar

Laszlo, Y. Local structure of the moduli space of vector bundles over curves, Comm. Math. Helv. 71, 373–401 (1996).Google Scholar

Laszlo, Y. Linearization of group stack actions and the Picard group of the moduli of SL_r /μ_s -bundles on a curve, Bull. Soc. Math. France 125, 529–545 (1997).Google Scholar

Laszlo, Y. Hitchin’s and WZW connections are the same, J. Diff. Geom. 49, 547–576 (1998a).Google Scholar

Laszlo, Y. About G-bundles over elliptic curves, Ann. Inst. Fourier, Grenoble 48, 413–424 (1998b).Google Scholar

Laszlo, Y. and Sorger, C. The line bundles on the moduli of parabolic G-bundles over curves and their sections, Ann. Scient. Éc. Norm. Sup. 30, 499–525 (1997).Google Scholar

Laumon, G. and Moret-Bailly, L. Champs Algébriques. Springer-Verlag, New York, 1999.Google Scholar

Le Potier, J. Fibrés Vectoriels sur les Courbes Algébriques. Cours de DEA, Université Paris 7, 1991.Google Scholar

Le Potier, J. Lectures on Vector Bundles. Cambridge University Press, Cambridge, 1997.Google Scholar

Looijenga, E. Root systems and elliptic curves, Invent. Math. 38, 17–32 (1976).Google Scholar

Looijenga, E. Conformal blocks revisited, ArXiv:math/0507086 (2005).Google Scholar

Looijenga, E. The KZ system via polydifferentials, Adv. Stud. in Pure Math. 62, 189–231 (2012).Google Scholar

Looijenga, E. From WZW models to modular functors, in: Handbook of Moduli, vol. II. Advanced Lectures in Mathematics, vol. 25. International Press, Boston, MA, pp. 427–466 (2013).Google Scholar

Marian, A. and Oprea, D. The level-rank duality for non-abelian theta functions, Invent. Math. 168, 225-247 (2007).Google Scholar

Marian, A. and Oprea, D. Sheaves on abelian surfaces and strange duality, Math. Ann. 343, 1-33 (2009).Google Scholar

Marian, A. and Oprea, D. On the strange duality conjecture for abelian surfaces, J. Euro. Math. Soc. 16, 1221–1252 (2014).Google Scholar

Marian, A., Oprea, D., Pandharipande, R., Pixton, A. and Zvonkine, D. The Chern character of the Verlinde bundle over ¯M_g,n, J. Reine Angew. Math. 732, 147–163 (2017).Google Scholar

Mathieu, O. Formules de caractères pour les algèbres de Kac–Moody générales, Astérisque 159–160, 1–267 (1988).Google Scholar

Matsumura, H. Commutative Ring Theory. Cambridge University Press, Cambridge, 1989.Google Scholar

Maunder, C.R.F. Algebraic Topology. Van Nostrand Reinhold Company, London, 1970.Google Scholar

Mehta, V. B. and Ramadas, T.R. Moduli of vector bundles, Frobenius splitting, and invariant theory, Ann. of Math. 144, 269–313 (1996).Google Scholar

Mehta, V. B. and Ramanathan, A. Restriction of stable sheaves and representations of the fundamental group, Invent. Math. 77, 163–172 (1984).Google Scholar

Mehta, V. B. and Seshadri, C. S. Moduli of vector bundles on curves with parabolic structures, Math. Ann. 248, 205–239 (1980).Google Scholar

Mehta, V.B. and Subramanian, S. On the Harder–Narasimhan filtration of principal bundles, in: Algebra, Arithmetic and Geometry Part 1(editedbyR.Parimala). Narosa Publishing House, New Delhi, pp. 405–415 (2002).Google Scholar

Meinrenken, E. and Woodward, C. Hamiltonian loop group actions and Verlinde factorization, J. Diff. Geom. 50, 417–469 (1998).Google Scholar

Milne, J.S. Chap. VII – Jacobian varieties, in: Arithmetic Geometry (edited by G. Cornell et al.). Springer-Verlag, Berlin, pp. 167–212 (1986).Google Scholar

Milne, J.S. Lectures on Étale Cohomology. Online version 2.21, www.jmilne.org/math/CourseNotes/LEC.pdf (2013).Google Scholar

Milnor, J. Morse Theory. Annals of Mathematics Studies, vol. 51. Princeton University Press, Princeton, NJ, 1969.Google Scholar

Milnor, J.W. and Stasheff, J.D. Characteristic Classes. Annals of Mathematics Studies, vol. 76. Princeton University Press, Princeton, NJ, 1974.Google Scholar

Mitchell, S.A. Quillen’s theorem on buildings and the loops on a symmetric space, L’Enseignement Math. 34, 123–166 (1988).Google Scholar

Mlawer, E.J., Naculich, S.G., Riggs, H.A. and Schnitzer, H.J. Group-level duality of WZW fusion coefficients and Chern–Simons link observables, Nuclear Phys. B 352, 863–896 (1991).Google Scholar

Moore, G. and Seiberg, N. Polynomial equations for rational conformal field theories, Phys. Lett. B 212, 451–460 (1988).Google Scholar

Moore, G. and Seiberg, N. Classical and quantum conformal field theory, Commun. Math. Phys. 123, 177–254 (1989).Google Scholar

Mukhopadhyay, S. Diagram automorphisms and rank-level duality, ArXiv: 1308.1756 (2013).Google Scholar

Mukhopadhyay, S. Strange duality of Verlinde spaces for G₂ and F₄, Math. Z. 283, 387–399 (2016a).Google Scholar

Mukhopadhyay, S. Rank-level duality of conformal blocks for odd orthogonal Lie algebras in genus 0, Trans. Amer. Math. Soc. 368, 6741–6778 (2016b).Google Scholar

Mukhopadhyay, S. Rank-level duality and conformal block divisors, Adv. Math. 287, 389–411 (2016c).Google Scholar

Mukhopadhyay, S. and Wentworth, R. Generalized theta functions, strange duality, and odd orthogonal bundles on curves, Commun. Math. Phys. 370, 325–376 (2019).Google Scholar

Mukhopadhyay, S. and Zelaci, H. Conformal embedding and twisted theta functions at level one, Proc. Amer. Math. Soc. 148, 9–22 (2020).Google Scholar

Mumford, D. Abelian Varieties, 2nd edn. Tata Institute of Fundamental Research, Bombay. Oxford University Press, Oxford, 1985.Google Scholar

Mumford, D. The Red Book of Varieties and Schemes. Lecture Notes in Mathematics, vol. 1358. Springer-Verlag, Berlin, 1988.Google Scholar

Mumford, D., Fogarty, J. and Kirwan, F. Geometric Invariant Theory, 3rd enlarged edn. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol. 34. Springer-Verlag, Berlin, 2002.Google Scholar

Mumford, D. and Oda, T. Algebraic Geometry II. Texts and Readings in Mathematics, vol. 73. Hindustan Book Agency, Haryana, 2015.Google Scholar

Naculich, S.G. and Schnitzer, H.J. Duality relations between SU(N)_k and SU(k)_N WZW models and their braid matrices, Phys. Lett. B, 244, 235–240 (1990).Google Scholar

Nakanishi, T. and Tsuchiya, A. Level-rank duality of WZW models in conformal field theory, Commun. Math. Phys. 144, 351–372 (1992).Google Scholar

Narasimhan, M.S. and Ramadas, T.R. Factorisation of generalised theta functions. I, Invent. Math. 114, 565–623 (1993).Google Scholar

Narasimhan, M.S. and Ramanan, S. Moduli of vector bundles on a compact Riemann surface, Ann. of Math. 89, 14–51 (1969).Google Scholar

Narasimhan, M.S. and Seshadri, C.S. Holomorphic vector bundles on a compact Riemann surface, Math. Ann. 155, 69–80 (1964).Google Scholar

Narasimhan, M.S. and Seshadri, C.S. Stable and unitary vector bundles on a compact Riemann surface, Ann. of Math. 82, 540–567 (1965).Google Scholar

Newstead, P.E. Introduction to Moduli Problems and Orbit Spaces. Narosa Publishing House, New Delhi, 2012.Google Scholar

Nitsure, N. Theory of Descent and Algebraic Stacks. KIAS, Seoul, 2005a.Google Scholar

Nitsure, N. Construction of Hilbert and Quot schemes, in: Fundamental Algebraic Geometry- Grothendieck’s FGA Explained (edited by B. Fantechi et al.), Mathematical Surveys and Monographs, vol. 123. American Mathematical Society, Providence, RI, pp. 107–137 (2005b).Google Scholar

Nitsure, N. Deformation theory for vector bundles, in: Moduli Spaces and Vector Bundles (edited by L. Brambila-Paz et al.), London Mathematical Society Lecture Note Series 359, 128–164 (2009).Google Scholar

Olsson, M. Hom-stacks and restriction of scalars, Duke Math. J. 134, 139–164 (2006).Google Scholar

Oort, F. Algebraic group schemes in characteristic zero are reduced, Invent. Math. 2, 79–80 (1966).Google Scholar

Oprea, D. The Verlinde bundles and the semihomogeneous Wirtinger duality, J. Reine Angew. Math. 654, 181–217 (2011).Google Scholar

Oudompheng, R. Rank-level duality for conformal blocks of the linear group, J. Alg. Geom. 20, 559–597 (2011).Google Scholar

Oxbury, W.M. and Wilson, S.M.J. Reciprocity laws in the Verlinde formulae for the classical groups, Trans. Amer. Math. Soc. 348, 2689–2710 (1996).Google Scholar

Pantev, T. Comparison of generalized theta functions, Duke Math. J. 76, 509–539 (1994).Google Scholar

Pappas, G. and Rapoport, M. Some questions about G -bundles on curves, in: Algebraic and Arithmetic Structures of Moduli Spaces. Advanced Studies in Pure Mathematics, vol. 58. Cambridge University Press, Cambridge, pp. 159–171 (2010).Google Scholar

Parthasarathi, P. On parabolic bundles on algebraic surfaces, J. Ramanujan Math. Soc. 28, 379–413 (2013).Google Scholar

Pauly, C. Espaces de modules de fibrés praboliques et blocs conformes, Duke Math. J. 84, 217–235 (1996).Google Scholar

Pauly, C. La dualité étrange [d’après P. Belkale, A. Marian et D. Oprea] Astérisque 326, Exp. No. 994, 363–377 (2009).Google Scholar

Pauly, C. Strange duality revisited, Math. Res. Lett. 21, 1353–1366 (2014).Google Scholar

Pauly, C. and Ramanan, S. A duality for spin Verlinde spaces and Prym theta functions, J. London. Math. Soc. 63, 513–532 (2001).Google Scholar

Popov, V.L. and Vinberg, E.B. Invariant Theory, Algebraic Geometry IV. Encyclopaedia of Mathematical Sciences. vol. 55. Springer, New York, pp. 123–278 (1994).Google Scholar

Pressley, A. and Segal, G. Loop Groups. Clarendon Press, Oxford, 1988.Google Scholar

Quillen, D. Determinants of Cauchy–Riemann operators over a Riemann surface, Funct. Anal. Appl. 19, 31–34 (1985).Google Scholar

Raghunathan, M. S. Principal bundles on affine space, in: C.P. Ramanujam– A Tribute. Springer-Verlag, Berlin, pp. 223–244 (1978).Google Scholar

Ramanan, S. A note on C.P. Ramanujam, in: C.P. Ramanujam – A Tribute. Springer-Verlag, Berlin, pp. 13–15 (1978).Google Scholar

Ramanan, S. and Ramanathan, A. Some remarks on the instability flag, Tôhoku Math. J. 36, 269–291 (1984).Google Scholar

Ramanathan, A. Stable principal bundles on a compact Riemann surface, Math. Ann. 213, 129–152 (1975).Google Scholar

Ramanathan, A. Moduli of principal bundles, Lecture Notes in Mathematics, vol. 732, 527–533. Springer, Berlin, 1979.Google Scholar

Ramanathan, A. Deformations of principal bundles on the projective line, Invent. Math. 71, 165–191 (1983).Google Scholar

Ramanathan, A. Moduli for principal bundles over algebraic curves: I and II, Proc. Indian Acad. Soc. (Math. Sci.) 106, 301–328 and 421–449 (1996).Google Scholar

Ramanathan, A. and Subramanian, S. Einstein–Hermitian connections on principal bundles and stability, J. Reine Angew. Math. 390, 21–31 (1988).Google Scholar

Remmert, R. Holomorphe und meromorphe abbildungen komplexer räume, Math. Ann. 133, 328–370 (1957).Google Scholar

Rudin, W. Real and Complex Analysis. McGraw-Hill, New York, 1966.Google Scholar

Safarevic, I.R. On some infinite–dimensional groups. II, Math. USSR Izvestija 18, 185–194 (1982).Google Scholar

Schellekens, A.N. and Warner, N.P. Conformal subalgebras of Kac–Moody algebras, Phys. Rev. D 34, 3092–3096 (1986).Google Scholar

Schieder, S. The Harder–Narasimhan stratification of the moduli stack of G-bundles via Drinfeld’s compactifications, Selecta Math. 21, 763–831 (2015).Google Scholar

Selberg, A. On discontinuous groups in higher-dimensional symmetric spaces, in: Internat. Colloquium on Function Theory, Bombay, 1960. Tata Institute of Fundamental Research, Bombay, pp. 147–164 (1960).Google Scholar

Serre, J.-P. Géométrie algébrique et géométrie analytique, Ann. Inst. Fourier, Grenoble 6, 1–42 (1956).Google Scholar

Serre, J.-P. Espaces fibrés algébriques, in: Anneaux de Chow et applications, Séminaire C. Chevalley, 1958.Google Scholar

Serre, J.-P. Algèbres de Lie Semi-simples Complexes. W.A. Benjamin, Inc., New York, 1966.Google Scholar

Serre, J.-P. Topics in Galois Theory. Jones and Bartlett Publishers, Boston, MA, 1992.Google Scholar

Serre, J.-P. Galois Cohomology. Springer Monographs in Mathematics, Springer, New York (1997).Google Scholar

Seshadri, C.S. Space of unitary vector bundles on a compact Riemann surface, Annals of Math. 85, 303–336 (1967).Google Scholar

Seshadri, C.S. Moduli of vector bundles on curves with parabolic structures, Bull. Amer. Math. Soc. 83, 124–126 (1977).Google Scholar

Seshadri, C.S. Vector Bundles on Curves. Contemporary Mathematics, vol. 153. American Mathematical Society, Providence, RI (1993).Google Scholar

Seshadri, C.S. Moduli of π-vector bundles over an algebraic curve, in: Collected Papers of C.S. Seshadri, vol. 250. Hindustan Book Agency, 2011.Google Scholar

Shatz, S. The decomposition and specialization of algebraic families of vector bundles, Compositio Math. 35, 163–187 (1977).Google Scholar

Sheinman, O.K. Current Algebras on Riemann Surfaces (New results and applications). De Gruyter Expositions in Mathematics, vol. 58. De Gruyter, Berlin, 2012.Google Scholar

Simpson, C. Moduli of representations of the fundamental group of a smooth projective variety II, Publ. Math. I.H.E.S. 80, 5–79 (1994).Google Scholar

Simpson, C. Algebraic (Geometric) n-Stacks, ArXiv.alg-geom/9609014 (1996).Google Scholar

Slodowy, P. On the geometry of Schubert varieties attached to Kac–Moody Lie algebras, in: Can. Math. Soc. Conf. Proc. on ‘Algebraic Geometry’ (Vancouver), vol. 6, 405–442 (1984).Google Scholar

Sorger, C. La formule de Verlinde, Séminaire Bourbaki,47ème année, n^o 794 (1994).Google Scholar

Sorger, C. La semi-caractéristique d’Euler–Poincaré des faisceaux ω-quadratiques sur un schéma de Cohen-Macaulay, Bull. Soc. Math. France 122, 225–233 (1994).Google Scholar

Sorger, C. On moduli of G-bundles on a curve for exceptional G, Ann. Scient. Éc. Norm. Sup. 32, 127–133 (1999).Google Scholar

Sorger, C. Lectures on moduli of principal G-bundles over algebraic curves, School on Algebraic Geometry, Trieste, pp. 1–57 (1999).Google Scholar

Spanier, E.H. Algebraic Topology. McGraw-Hill, New York, 1966.Google Scholar

Stacks. The Stacks project, Online version, https://stacks.math.columbia.edu/ (2019).Google Scholar

Steenrod, N. The Topology of Fibre Bundles. Princeton University Press, Princeton, NJ, 1951.Google Scholar

Steinberg, R. Lectures on Chevalley Groups. University Lecture Series, vol. 66. American Mathematical Society, Providence, RI, 2016.Google Scholar

Sun, X. Degeneration of moduli spaces and generalized theta functions, J. Alg. Geom. 9, 459–527 (2000).Google Scholar

Sun, X. Factorization of generalized theta functions in the reducible case, Ark. Mat. 41, 165–202 (2003).Google Scholar

Sun, X. and Tsai, I-H. Hitchin’s connection and differential operators with values in the determinant bundle, J. Diff. Geom. 66, 303–343 (2004).Google Scholar

Sun, X. and Zhou, M. Globally F -regular type of moduli spaces and Verlinde formula, ArXiv: 1802.08392 (2018).Google Scholar

Suzuki, T. A new proof of the finite-dimensionality of the space of conformal blocks, Preprint (1990).Google Scholar

Szenes, A. Hilbert polynomials of moduli spaces of rank 2 vector bundles I, Topology 32, 587-597 (1993).Google Scholar

Szenes, A. The combinatorics of the Verlinde formula, in: Vector Bundles in Algebraic Geometry (edited by N. J. Hitchin et al.). London Mathematical Society Lecture Note Series, vol. 208. Cambridge University Press, Cambridge, pp. 241– 254 (1995).Google Scholar

Teleman, C. Lie algebra cohomology and the fusion rules, Commun. Math. Phys. 173, 265–311 (1995).Google Scholar

Teleman, C. Verlinde factorization and Lie algebra cohomology, Invent. Math. 126, 249–263 (1996).Google Scholar

Teleman, C. Borel–Weil–Bott theory on the moduli stack of G-bundles over a curve, Invent. Math. 134, 1–57 (1998).Google Scholar

Teleman, C. and Woodward, C. Parabolic bundles, products of conjugacy classes and Gromov–Witten invariants, Ann. Inst. Fourier (Grenoble) 51, 713–748 (2001)Google Scholar

Thaddeus, M. Stable pairs, linear systems and the Verlinde formula, Invent. Math. 117, 317-353 (1994).Google Scholar

Tsuchimoto, Y. On the coordinate-free description of the conformal blocks, J. Math. Kyoto Univ. 33, 29–49 (1993).Google Scholar

Tsuchiya, A. and Kanie, Y. Vertex operators in Conformal field theory on P¹ and monodromy representations of braid group, Adv. Stud. Pure Math. 16, 297–372 (1988).Google Scholar

Tsuchiya, A., Ueno, K. and Yamada, Y. Conformal field theory on universal family of stable curves with gauge symmetries, Adv. Stud. Pure Math. 19, 459–566 (1989).Google Scholar

Tu, L.W. Semistable bundles over an elliptic curve, Adv. in Math. 98, 1-26 (1993).Google Scholar

Ueno, K. Conformal Field Theory with Gauge Symmetry. Fields Institute Monographs. American Mathematical Society, Providence, RI, 2008.Google Scholar

Verlinde, E. Fusion rules and modular transformations in 2D conformal field theory, Nucl. Phys. B 300, 360–376 (1988).Google Scholar

Vistoli, A. Grothendieck topologies, fibered categories and descent theory, in: Fundamental Algebraic Geometry– Grothendieck’s FGA Explained (edited by B. Fantechi et al.). Mathematical Surveys and Monographs, vol. 123. American Mathematical Society, Providence, RI, pp. 1–104 (2005).Google Scholar

Wang, J. The moduli stack of G-bundles, arXiv:1104.4828 [math.AG] (2011).Google Scholar

Waterhouse, W.C. Introduction to Affine Group Schemes. Graduate Texts in Mathematics, vol. 66. Springer-Verlag, Berlin, 1979.Google Scholar

Weil, A. Généralisation des fonctions abéliennes, J. Math. Pures Appl. 17, 47–87 (1938).Google Scholar

Witten, E. On quantum gauge theories in two dimensions, Commun. Math. Phys. 141, 153–209 (1991).Google Scholar

Zagier, D. On the cohomology of moduli spaces of rank two vector bundles over curves, in: The Moduli Space of Curves. Progress in Mathematics, vol. 129. Birkhäuser, Basel, pp. 533–563 (1995).Google Scholar

Zagier, D. Elementary aspects of the Verlinde formula and of the Harder–Narasimhan– Atiyah–Bott formula, IsraelMath.Conf.Proc.,vol.9, Bar-Ilan Univ., pp. 445–462 (1996).Google Scholar

Zhu, X. An introduction to affine Grassmannians and the geometric Satake equivalence, in: Geometry of Moduli Spaces and Representation Theory. IAS/Park City Mathematics Series, vol. 24. American Mathematical Society, Providence, RI, pp. 59–154 (2017).Google Scholar