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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Official URL: http://dx.doi.org/10.1017/is014003008jkt259
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: | Schools > Mathematics |
| Subjects: | Q Science > QA Mathematics |
| Publisher: | Cambridge University Press |
| ISSN: | 1865-2433 |
| Date of First Compliant Deposit: | 2 December 2016 |
| Last Modified: | 04 Dec 2024 06:15 |
| URI: | https://orca.cardiff.ac.uk/id/eprint/89482 |
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