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OBSTRUCTION THEORY FOR SUPERMANIFOLDS AND DEFORMATIONS OF SUPERCONFORMAL STRUCTURES

Part of: General theory of differentiable manifolds Families, fibrations Curves Analytic spaces Deformations of analytic structures

Published online by Cambridge University Press:  15 March 2017

KOWSHIK BETTADAPURA
KOWSHIK BETTADAPURA*
Affiliation:
Mathematical Sciences Institute, Australian National University, Canberra, ACT 2601, Australia email [email protected]
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Abstract

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Keywords

complex supermanifoldsuper Riemann surfaceobstructiondeformationsplitting

MSC classification

Primary: 32C11: Complex supergeometry
Secondary: 14D21: Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) 14H15: Families, moduli (analytic) 14H81: Relationships with physics 32G05: Deformations of complex structures 58A50: Supermanifolds and graded manifolds
Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 95 , Issue 3 , June 2017 , pp. 512 - 514
Copyright
© 2017 Australian Mathematical Publishing Association Inc. 

References

Donagi, R. and Witten, E., ‘Super Atiyah classes and obstructions to splitting of supermoduli space’, Preprint, 2014, arXiv:1404.6257 [hep-th].Google Scholar
Donagi, R. and Witten, E., ‘Supermoduli space is not projected’, String-Math 2012, Proc. Symp. Pure Math. 90 (2015), 19–72.Google Scholar
Eastwood, M. and LeBrun, C., ‘Thickening and supersymmetric extensions of complex manifolds’, Amer. J. Math. 108(5) (1986), 1177–1192.CrossRefGoogle Scholar
Kodaira, K., Complex Manifolds and Deformation of Complex Structures (Springer, New York, 1986).Google Scholar
Koszul, J., ‘Connections and splittings of supermanifolds’, Differential Geom. Appl. 4 (1994), 151–161.CrossRefGoogle Scholar