Geodesic
On the Equivariant Cohomology of Hyperpolar Actions on Symmetric Spaces
Documenta mathematica, Tome 24 (2019), pp. 1657-1676
Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

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.
DOI : 10.4171/dm/711
Classification : 53C35, 55N91, 57S15
Mots-clés : equivariant cohomology, symmetric spaces of compact type, hyperpolar actions, Hermann actions, Cohen-Macaulay rings and modules 
@article{10_4171_dm_711,
     author = {Sam Hagh Shenas Noshari and Oliver Goertsches and Augustin-Liviu Mare},
     title = {On the {Equivariant} {Cohomology} of {Hyperpolar} {Actions} on {Symmetric} {Spaces}},
     journal = {Documenta mathematica},
     pages = {1657--1676},
     year = {2019},
     volume = {24},
     doi = {10.4171/dm/711},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/711/}
}
TY  - JOUR
AU  - Sam Hagh Shenas Noshari
AU  - Oliver Goertsches
AU  - Augustin-Liviu Mare
TI  - On the Equivariant Cohomology of Hyperpolar Actions on Symmetric Spaces
JO  - Documenta mathematica
PY  - 2019
SP  - 1657
EP  - 1676
VL  - 24
UR  - http://geodesic.mathdoc.fr/articles/10.4171/dm/711/
DO  - 10.4171/dm/711
ID  - 10_4171_dm_711
ER  - 
%0 Journal Article
%A Sam Hagh Shenas Noshari
%A Oliver Goertsches
%A Augustin-Liviu Mare
%T On the Equivariant Cohomology of Hyperpolar Actions on Symmetric Spaces
%J Documenta mathematica
%D 2019
%P 1657-1676
%V 24
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/711/
%R 10.4171/dm/711
%F 10_4171_dm_711
Sam Hagh Shenas Noshari; Oliver Goertsches; Augustin-Liviu Mare. On the Equivariant Cohomology of Hyperpolar Actions on Symmetric Spaces. Documenta mathematica, Tome 24 (2019), pp. 1657-1676. doi: 10.4171/dm/711

Cité par Sources :