arXiv subjects

Rishni Ratnam

Publications and source records attributed to Rishni Ratnam.

2 recordsLinked to original sources

arXiv2011

A Chern-Weil Isomorphism for the Equivariant Brauer Group

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.

math.OA↗

arXiv2011

Recent advances in the study of the Equivariant Brauer Group

In this paper we outline a recent construction of a Chern-Weil isomorphism for the equivariant Brauer group of $\mathbb R^n$ actions on a principal torus bundle, where the target for this isomorphism is a "dimensionally reduced" \vCech cohomology group. Using this latter group, we demonstrate how to extend the induced algebra construction to algebras with a non-trivial bundle as their spectrum.

math.OA↗