On the equivariant cohomology of hyperpolar actions on symmetric spaces

2018/08/31 by Oliver Goertsches, Goertsches, Oliver, Sam Hagh Shenas Noshari +3
Mathematics · #53C35 #55N91 #57S15 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Differential Geometry (math.DG) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1808.10630

openalex publication_date 2018/08/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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