A Chern-Weil Isomorphism for the Equivariant Brauer Group

2011/09/15 by Peter Bouwknegt, Alan L. Carey, Bouwknegt, Peter +4
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Operator Algebras (math.OA) #math-ph #math.MP #math.OA

paper · pdf · doi:10.48550/arxiv.1109.3306

58 pages

arxiv created 2011/09/15 · openalex publication_date 2011/09/15 · arxiv updated 2011/09/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we construct a Chern-Weil isomorphism for the equivariant Brauer group of Rⁿ-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.

Citations

• A Cech Dimensionally Reduced Gysin Sequence for Principal Torus Bundles

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