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, GermanySam Hagh Shenas Noshari
Institut für Geometrie und Topologie, Universität Stuttgart, Pfaffenwaldring 57, D-70569 Stuttgart, GermanyAugustin-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
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