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arXiv · 1407.1866

On the equivarant de-Rham cohomology for non-compact Lie groups

Camilo Arias Abad·Bernardo Uribe
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Abstract

Let $G$ be a connected and non-necessarily compact Lie group acting on a connected manifold $M$. In this short note we announce the following result: for a $G$-invariant closed differential form on $M$, the existence of a closed equivariant extension in the Cartan model for equivariant cohomology is equivalent to the existence of an extension in the homotopy quotient.

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Camilo Arias Abad, Bernardo Uribe. 2014-07-07. On the equivarant de-Rham cohomology for non-compact Lie groups. https://doi.org/10.1016/j.difgeo.2015.02.006

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