Generalizing the localization formula in equivariant cohomology

Details Generalizing the localization formula in equivariant cohomology Generalizing the localization formula in equivariant cohomology

2003-09-04

arxiv.org/abs/math/0309068v1

Mathematics

Differential Geometry

12 pages

Scientific paper

We give two generalizations of the Atiyah-Bott-Berline-Vergne localization theorem for the equivariant cohomology of a torus action: 1) replacing the torus action by a compact connected Lie group action, 2) replacing the manifold having a torus action by an equivariant map. This provides a systematic method for calculating the Gysin homomorphism in ordinary cohomology of an equivariant map. As an example, we recover a formula of Akyildiz-Carrell for the Gysin homomorphism of flag manifolds.

Affiliated with

Also associated with

No associations

Rating

Generalizing the localization formula 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 Generalizing the localization formula in equivariant cohomology, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalizing the localization formula in equivariant cohomology will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-57291