JournalsdmVol. 24pp. 1657–1676

On the Equivariant Cohomology of Hyperpolar Actions on Symmetric Spaces

  • Oliver Goertsches

    Fachbereich Mathematik und Informatik, Philipps-Universität Marburg, Hans-Meerwein-Str. 6, D-35043 Marburg, Germany

  • Sam Hagh Shenas Noshari

    Institut für Geometrie und Topologie, Universität Stuttgart, Pfaffenwaldring 57, D-70569 Stuttgart, Germany

  • Augustin-Liviu Mare

    Department of Mathematics and Statistics, University of Regina, 3737 Wascana Parkway, Regina, Canada S4S 0A2
On the Equivariant Cohomology of Hyperpolar Actions on Symmetric Spaces cover
Download PDF

This article is published open access.

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.

Cite this article

Oliver Goertsches, Sam Hagh Shenas Noshari, Augustin-Liviu Mare, On the Equivariant Cohomology of Hyperpolar Actions on Symmetric Spaces. Doc. Math. 24 (2019), pp. 1657–1676

DOI 10.4171/DM/711