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

Carey, Alan; Wang, Bai-Ling


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...[Show more]

CollectionsANU Research Publications
Date published: 2008
Type: Journal article
Source: Journal of K-Theory
DOI: 10.1017/is007011015jkt011


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