Geodesic
On the Equivariant Cohomology of Hyperpolar Actions on Symmetric Spaces
Documenta mathematica, Tome 24 (2019), pp. 1657-1676.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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.
Classification : 53C35, 55N91, 57S15
Keywords: symmetric spaces of compact type, hyperpolar actions, Hermann actions, equivariant cohomology, Cohen-Macaulay rings and modules 
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     author = {Goertsches, Oliver and Hagh Shenas Noshari, Sam and Mare, Augustin-Liviu},
     title = {On the {Equivariant} {Cohomology} of {Hyperpolar} {Actions} on {Symmetric} {Spaces}},
     journal = {Documenta mathematica},
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     year = {2019},
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Goertsches, Oliver; Hagh Shenas Noshari, Sam; Mare, Augustin-Liviu. On the Equivariant Cohomology of Hyperpolar Actions on Symmetric Spaces. Documenta mathematica, Tome 24 (2019), pp. 1657-1676. http://geodesic.mathdoc.fr/item/DOCMA_2019__24__a24/