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arXiv · 1609.07316

Equivariant cohomology of cohomogeneity one actions: the topological case

Oliver Goertsches·Augustin-Liviu Mare
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Abstract

We show that for any cohomogeneity one continuous action of a compact connected Lie group $G$ on a closed topological manifold the equivariant cohomology equipped with its canonical $H^*(BG)$-module structure is Cohen-Macaulay. The proof relies on the structure theorem for these actions recently obtained by Galaz-Garcia and Zarei. We generalize in this way our previous result concerning smooth actions.

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Oliver Goertsches, Augustin-Liviu Mare. 2016-09-23. Equivariant cohomology of cohomogeneity one actions: the topological case. https://arxiv.org/abs/1609.07316

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