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DIRAC OPERATORS ON ORIENTIFOLDS

Part of: Topological $K$-theory Homology and cohomology theories $K$-theory and operator algebras

Published online by Cambridge University Press:  30 October 2020

SIMON KITSON Open the ORCID record for SIMON KITSON [Opens in a new window]
SIMON KITSON*
Affiliation:
Department of Mathematics, Mathematical Sciences Institute, Australian National University, Canberra, ACT 0200, Australia
*
e-mail: [email protected]
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Abstract

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Keywords

equivariant K-theoryindex theoryK homologyorbifold cohomology

MSC classification

Primary: 55N32: Orbifold cohomology
Secondary: 19L47: Equivariant $K$-theory 19K33: EXT and $K$-homology 19K35: Kasparov theory ($KK$-theory) 19K56: Index theory
Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 104 , Issue 1 , August 2021 , pp. 167 - 168
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Copyright
© 2020 Australian Mathematical Publishing Association Inc.

Footnotes

Thesis submitted to the Australian National University in February 2020; degree approved on 23 March 2020; primary supervisor Bai-Ling Wang, co-supervisors Peter Bouwknegt and Alan Carey.

References

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Baum, P. and Douglas, R. G., ‘ $K$ homology and index theory’, Operator Algebras and Applications , Part I (Kingston, Ont., 1980), Proceedings of Symposia in Pure Mathematics, 38 (American Mathematical Society, Providence, RI, 1982), 117–173.CrossRefGoogle Scholar
Freed, D. S. and Moore, G. W., ‘Twisted equivariant matter’, Ann. Henri Poincaré 14 (2013), 1927–2023.CrossRefGoogle Scholar
Lawson, H. B. Jr and Michelsohn, M.-L., Spin Geometry, Princeton Mathematical Series, 38 (Princeton University Press, Princeton, NJ, 1989).Google Scholar
Witten, E., ‘D-branes and K-theory’, J. High Energy Phys. 12 (1998), 19–41.CrossRefGoogle Scholar