On the equivariant cohomology of $\mathbb{Z}_2\times\mathbb{Z}_k$-symmetric spaces

Sam Hagh Shenas Noshari

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arXiv · 2302.12151

On the equivariant cohomology of $\mathbb{Z}_2\times\mathbb{Z}_k$-symmetric spaces

Sam Hagh Shenas Noshari

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Abstract

$\Gamma$-symmetric spaces are a vast generalization of symmetric spaces. Previous results make it conceivable that their isotropy action is equivariantly formal, and we provide evidence for this in case that $\Gamma = \mathbb{Z}_2\times\mathbb{Z}_k$. This in particular implies that $\mathbb{Z}_2\times\mathbb{Z}_k$-symmetric spaces are formal in the sense of Rational Homotopy Theory.

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Sam Hagh Shenas Noshari. 2023-02-23. On the equivariant cohomology of $\mathbb{Z}_2\times\mathbb{Z}_k$-symmetric spaces. https://arxiv.org/abs/2302.12151

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