Thom isomorphism and push-forward map in twisted K-theory
- 30 November 2007
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of K-theory
- Vol. 1 (2) , 357-393
Abstract
We establish the Thom isomorphism in twisted K-theory for any real vector bundle and develop the push-forward map in twisted K-theory for any differentiable map f : X → Y (not necessarily K-oriented). We also obtain the wrong way functoriality property for the push-forward map in twisted K-theory. For D-branes satisfying Freed-Witten's anomaly cancellation condition in a manifold with a non-trivial B-field, we associate a canonical element in the twisted K-group to get the so-called D-brane charges.Keywords
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