An alternate description of equivariant connections

作者：Redden Corbett^*

来源：Differential Geometry and its Applications, 2018, 56: 81-94.

DOI：10.1016/j.difgeo.2017.11.003

• Equivariant bundles
• Connections
• Stacks

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

• 出版日期2018-2