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DIRAC OPERATORS ON ORIENTIFOLDS

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

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: simonkitson@fastmail.com
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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

Information

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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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