Torsion and abelianization in equivariant cohomology

Details Torsion and abelianization in equivariant cohomology Torsion and abelianization in equivariant cohomology

2006-07-03

arxiv.org/abs/math/0607069v4

Transform. Groups 13 (2008), no. 3-4, 585-615

Mathematics

Algebraic Topology

30 pages. References added and typos corrected

Scientific paper

Let $X$ be a topological space upon which a compact connected Lie group $G$ acts. It is well-known that the equivariant cohomology $H_G^*(X;\Q)$ is isomorphic to the subalgebra of Weyl group invariants of the equivariant cohomology $H_T^*(X;\Q)$, where $T$ is a maximal torus of $G$. This relationship breaks down for coefficient rings $\k$ other than $\Q$. Instead, we prove that under a mild condition on $\k$ the algebra $H_G^*(X,\k)$ is isomorphic to the subalgebra of $H_T^*(X,\k)$ annihilated by the divided difference operators.

Affiliated with

Also associated with

No associations

Rating

Torsion and abelianization in equivariant cohomology does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Torsion and abelianization in equivariant cohomology, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Torsion and abelianization in equivariant cohomology will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-240042