Differential twisted K-theory and applications

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

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Differential twisted K-theory and applications

Date

2009

Authors

Carey, Alan

Wang, Bai-Ling

Mickelsson, Jouko Armas

Publisher

Elsevier

Abstract

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.