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Delocalized equivariant cohomology and resolution
Delocalized equivariant cohomology resolution
2011/2/28
A refined form of the ‘Folk Theorem’ that a smooth action by a compact Lie group can be (canonically) resolved, by iterated blow up, to have unique isotropy type was established in [1] in the context ...
A Giambelli formula for the $S^1$-equivariant cohomology of type A Peterson varieties
Giambelli formula $S^1$-equivariant cohomology of type Peterson varieties
2011/2/22
The main result of this note is a Giambelli formula for the Peterson Schubert classes in the S1-equivariant cohomology ring of a type A Peterson variety. Our results depend on the Monk formula for the...
The equivariant cohomology of isotropy actions on symmetric spaces
equivariant cohomology of isotropy actions symmetric spaces
2010/12/9
We show that for every symmetric space G=K of compact type with K connected, the K-action on G=K by left translations is equivariantly formal.
Torsion in equivariant cohomology and Cohen-Macaulay G-actions
Torsion equivariant cohomology Cohen-Macaulay G-actions
2010/11/26
We show that the well-known fact that the equivariant cohomology of a torus action is a torsion-free module if and only if the map induced by the inclusion of the xed point set is injective generalis...