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Thom isomorphism and push-forward map in twisted K-theory

Published online by Cambridge University Press:  30 November 2007

Alan L. Carey  and
Bai-Ling Wang
Alan L. Carey
Affiliation:
acarey@maths.anu.edu.au Mathematical Sciences Institute, Australian National University, Canberra ACT 0200, Australia
Bai-Ling Wang
Affiliation:
wangb@maths.anu.edu.au Department of Mathematics, Australian National University, Canberra ACT 0200, Australia
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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

Twisted K-theoryThom isomorphismpush-forward map and D-brane charges

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Type
Research Article
Information
Journal of K-Theory , Volume 1 , Issue 2 , April 2008 , pp. 357 - 393
Copyright
Copyright © ISOPP 2008

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