TY - JOUR
T1 - Equivariant cohomology of rationally smooth group embeddings
AU - Gonzales, Richard P.
N1 - Publisher Copyright:
© 2015, Springer Science+Business Media New York.
PY - 2015/9/5
Y1 - 2015/9/5
N2 - We describe the equivariant cohomology ring of rationally smooth projective embeddings of reductive groups. These embeddings are the projectivizations of reductive monoids. Our main result describes their equivariant cohomology in terms of roots, idempotents, and underlying monoid data. Also, we characterize those embeddings whose equivariant cohomology ring is obtained via restriction to the associated toric variety. Such characterization is given in terms of the closed orbits.
AB - We describe the equivariant cohomology ring of rationally smooth projective embeddings of reductive groups. These embeddings are the projectivizations of reductive monoids. Our main result describes their equivariant cohomology in terms of roots, idempotents, and underlying monoid data. Also, we characterize those embeddings whose equivariant cohomology ring is obtained via restriction to the associated toric variety. Such characterization is given in terms of the closed orbits.
UR - http://www.scopus.com/inward/record.url?scp=84938542708&partnerID=8YFLogxK
U2 - 10.1007/s00031-015-9322-0
DO - 10.1007/s00031-015-9322-0
M3 - Article
AN - SCOPUS:84938542708
SN - 1083-4362
VL - 20
SP - 743
EP - 769
JO - Transformation Groups
JF - Transformation Groups
IS - 3
ER -