An alternate description of equivariant connections

2016/08/03 by Redden, Corbett
#55R91 (18F15 53C05 53C08 55R65) #Algebraic Topology (math.AT) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1608.01297

Abstract

In this note, we consider a Lie group G acting on a manifold M. We prove that the category of bundles with connection on the differential quotient stack is equivalent to the category of G-equivariant bundles on M with G-invariant connection.

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