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arXiv · 1709.06003

A classification of equivariant gerbe connections

Byungdo Park·Corbett Redden
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Abstract

Let G be a compact Lie group acting on a smooth manifold M. In this paper, we consider Meinrenken's G-equivariant bundle gerbe connections on M as objects in a 2-groupoid. We prove this 2-category is equivalent to the 2-groupoid of gerbe connections on the differential quotient stack associated to M, and isomorphism classes of G-equivariant gerbe connections are classified by degree three differential equivariant cohomology. Finally, we consider the existence and uniqueness of conjugation-equivariant gerbe connections on compact semisimple Lie groups.

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Byungdo Park, Corbett Redden. 2017-09-18. A classification of equivariant gerbe connections. https://arxiv.org/abs/1709.06003

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