An alternate description of equivariant connections
Algebraic Topology
2017-09-19 v3 Differential Geometry
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.
Keywords
Cite
@article{arxiv.1608.01297,
title = {An alternate description of equivariant connections},
author = {Corbett Redden},
journal= {arXiv preprint arXiv:1608.01297},
year = {2017}
}
Comments
14 pages; v3 minor revisions