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Twisted K-theory and obstructions against positive scalar curvature metrics

Pennig, Ulrich 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: 05 Jun 2017 06:38
URI: http://orca.cf.ac.uk/id/eprint/89482

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