arXiv subjects

Sam Hagh Shenas Noshari

Publications and source records attributed to Sam Hagh Shenas Noshari.

2 recordsLinked to original sources

arXiv2023

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

$Γ$-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 $Γ= \mathbb{Z}_2\times\mathbb{Z}_k$. This in particular implies that $\mathbb{Z}_2\times\mathbb{Z}_k$-symmetric spaces are formal in the sense of Rational Homotopy Theory.

math.AT↗

arXiv2019

On the equivariant cohomology of hyperpolar actions on symmetric spaces

We show that the equivariant cohomology of any hyperpolar action of a compact and connected Lie group on a symmetric space of compact type is a Cohen-Macaulay ring. This generalizes some results previously obtained by the authors.

math.DG↗