Twisted K-theory constructions in the case of a decomposable Dixmier-Douady class II: Topological and equivariant models

JOURNAL OF GEOMETRY AND PHYSICS

卷:82

Article

Harju, Antti J.

关键词: Equivariant twister K-theory;    Gerbes;    Index theory;   

DOI  :  10.1016/j.geomphys.2014.04.002

来源: Elsevier

【 摘 要 】

This is a study of twisted K-theory on a product space T x M. The twisting comes from a decomposable cup product class which applies the 1-cohomology of T and the 2-cohomology of M. In the case of a topological product, we give a concrete realization for the gerbe associated to a cup product characteristic class and use this to realize twisted K-1-theory elements in terms of supercharge sections in a Fredholm bundle. The nontriviality of this construction is proved. Equivariant twisted K-theory and gerbes are studied in the product case as well. This part applies Lie groupoid theory. Superconnection formalism is used to provide a construction for characteristic polynomials which are used to extract information from the twisted K-theory classes. (C) 2014 Elsevier B.V. All rights reserved.

【 授权许可】

Free