Please use this identifier to cite or link to this item: http://hdl.handle.net/2440/3505
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Type: Journal article
Title: Chern character in twisted K-theory: Equivariant and holomorphic cases
Author: Varghese, M.
Stevenson, D.
Citation: Communications in Mathematical Physics, 2003; 236(1):161-186
Publisher: Springer-Verlag
Issue Date: 2003
ISSN: 0010-3616
1432-0916
Statement of
Responsibility: 
Varghese Mathai and Danny Stevenson
Abstract: It was argued in [25, 5] that in the presence of a nontrivial B-field, D-brane charges in type IIB string theories are classified by twisted K-theory. In [4], it was proved that twisted K-theory is canonically isomorphic to bundle gerbe K-theory, whose elements are ordinary Hilbert bundles on a principal projective unitary bundle, with an action of the bundle gerbe determined by the principal projective unitary bundle. The principal projective unitary bundle is in turn determined by the twist. This paper studies in detail the Chern-Weil representative of the Chern character of bundle gerbe K-theory that was introduced in [4], extending the construction to the equivariant and the holomorphic cases. Included is a discussion of interesting examples.
Description: The original publication is available at www.springerlink.com
RMID: 0020030614
DOI: 10.1007/s00220-003-0807-7
Published version: http://www.springerlink.com/content/3mnje4e26c52c2nl
Appears in Collections:Pure Mathematics publications

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