Twisted $K$-theory and gerbes in the case of a decomposable Dixmier-Douady class

A. J. Harju (University of Helsinki )

Monday 20th May, 2013 14:30-15:30 tba


Twisted $K$-theory, with twisting in the third integral cohomology, is discussed in the case of a product manifold. The twist is assumed to be decomposable as a cup product of a one-cocycle and a two cocycle. The goal is to give an explicit construction for the gerbes and the twisted $K$-theory classes using a quantum field theory model, in the same spirit as the supersymmetric Wess-Zumino-Witten model has been used for constructing (equivariant) twisted $K$-theory classes on compact Lie groups.

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