Twisted K-theory and obstructions against positive scalar curvature metrics

Pennig, Ulrich ORCID: https://orcid.org/0000-0001-5441-6130 2014. Twisted K-theory and obstructions against positive scalar curvature metrics. Journal of K-theory: K-theory and its Applications to Algebra, Geometry, and Topology 14 (1) , pp. 47-71. 10.1017/is014003008jkt259

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Abstract

We decompose θ(M), the twisted index obstruction to a positive scalar curvature metric for closed oriented manifolds with spin universal cover, into a pairing of a twisted K-homology with a twisted K-theory class and prove that θ(M) does not vanish if M is a closed orientable enlargeable manifold with spin universal cover.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Publisher:	Cambridge University Press
ISSN:	1865-2433
Date of First Compliant Deposit:	2 December 2016
Last Modified:	06 Nov 2023 18:45
URI:	https://orca.cardiff.ac.uk/id/eprint/89482

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