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March 2007 On the splitting principle of bundle gerbe modules
Atsushi Tomoda
Osaka J. Math. 44(1): 231-246 (March 2007).

Abstract

We introduce the notion of an $n$-trivialization and a compatible curving and construct the splitting of bundle gerbe modules to define the twisted Chern classes and the twisted Chern character for bundle gerbe modules in terms of algebraic topology. Moreover, we prove that the latter coincides with the twisted Chern character due to Bouwknegt-Carey-Mathai-Murray-Stevenson [1] if the bundle gerbe is given an $n$-trivialization and a compatible curving.

Citation

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Atsushi Tomoda. "On the splitting principle of bundle gerbe modules." Osaka J. Math. 44 (1) 231 - 246, March 2007.

Information

Published: March 2007
First available in Project Euclid: 19 March 2007

zbMATH: 1133.19002
MathSciNet: MR2313038

Subjects:
Primary: 55R65
Secondary: 55R20

Rights: Copyright © 2007 Osaka University and Osaka City University, Departments of Mathematics

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Vol.44 • No. 1 • March 2007
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