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Differential twisted K-theory and applications

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Carey, Alan; Wang, Bai-Ling; Mickelsson, Jouko Armas

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In this paper, we develop differential twisted K-theory and define a twisted Chern character on twisted K-theory which depends on a choice of connection and curving on the twisting gerbe. We also establish the general Riemann-Roch theorem in twisted K-theory and find some applications in the study of twisted K-theory of compact simple Lie groups.

CollectionsANU Research Publications
Date published: 2009
Type: Journal article
URI: http://hdl.handle.net/1885/27372
Source: Journal of Geometry and Physics
DOI: 10.1016/j.geomphys.2009.02.002

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