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arXiv · 1109.3306

A Chern-Weil Isomorphism for the Equivariant Brauer Group

Peter Bouwknegt·Alan Carey·Rishni Ratnam
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Abstract

In this paper we construct a Chern-Weil isomorphism for the equivariant Brauer group of R^n-actions on a principal torus bundle, where the target for this isomorphism is a "dimensionally reduced" Cech cohomology group. From this point of view, the usual forgetful functor takes the form of a connecting homomorphism in a long exact sequence in dimensionally reduced cohomology.

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Peter Bouwknegt, Alan Carey, Rishni Ratnam. 2011-09-15. A Chern-Weil Isomorphism for the Equivariant Brauer Group. https://arxiv.org/abs/1109.3306

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