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arXiv · 1602.06921

Differential Borel equivariant cohomology via connections

Corbett Redden
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Abstract

For a compact Lie group acting on a smooth manifold, we define the differential cohomology of a certain quotient stack involving principal bundles with connection. This produces differential equivariant cohomology groups that map to the Cartan-Weil equivariant forms and to Borel's equivariant integral cohomology. We show the Chern-Weil homomorphism for equivariant vector bundles with connection naturally factors through differential equivariant cohomology.

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Corbett Redden. 2016-08-03. Differential Borel equivariant cohomology via connections. https://arxiv.org/abs/1602.06921

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