Hostname: page-component-69cd664f8f-fgph7 Total loading time: 0 Render date: 2025-03-13T00:35:26.715Z Has data issue: false hasContentIssue false
  • English
  • Français

DIRAC OPERATORS ON ORIENTIFOLDS

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

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]
Rights & Permissions [Opens in a new window]

Abstract

An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'

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
Check for updates
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

Atiyah, M. F., ‘ K-theory and reality’, Q. J. Math. Oxford Ser. 17(2) (1966), 367–386.CrossRefGoogle Scholar
Baum, P. and Connes, A., ‘Geometric $K$ -theory for Lie groups and foliations’, Enseign. Math. (2) 46(1–2) (2000), 3–42.Google Scholar
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