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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
Affiliation: Mathematical Sciences Institute, Australian National University, Canberra ACT 0200, Australia
Bai-Ling Wang
Affiliation: Department of Mathematics, Australian National University, Canberra ACT 0200, Australia
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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 : XY (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.

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Copyright © ISOPP 2008

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