JournalsdmVol. 24pp. 1657–1676

On the Equivariant Cohomology of Hyperpolar Actions on Symmetric Spaces

  • Sam Hagh Shenas Noshari

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

  • Oliver Goertsches

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

  • Augustin-Liviu Mare

    Department of Mathematics and Statistics, University of Regina, 3737 Wascana Parkway, Regina, Canada S4S 0A2
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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

Sam Hagh Shenas Noshari, Oliver Goertsches, 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