3 papers
math.AT2023
On the equivariant cohomology of -symmetric spaces
Sam Hagh Shenas Noshari
-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…
math.DG2018
On the equivariant cohomology of hyperpolar actions on symmetric spaces
Oliver Goertsches, Sam Hagh Shenas Noshari, Augustin-Liviu Mare
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 generalize…
math.DG2014
Equivariant formality of isotropy actions on homogeneous spaces defined by Lie group automorphisms
Oliver Goertsches, Sam H. Noshari
We show that the isotropy action of a homogeneous space , where and are compact, connected Lie groups and is defined by an automorphism on , is equivariantly fo…