The equivariant cohomology of hypertoric varieties and their real loci

Details The equivariant cohomology of hypertoric varieties and their real loci The equivariant cohomology of hypertoric varieties and their real loci

2004-05-21

arxiv.org/abs/math/0405422v1

Mathematics

Differential Geometry

27 pages, 10 figures

Scientific paper

Let M be a Hamiltonian T space with a proper moment map, bounded below in some component. In this setting, we give a combinatorial description of the T-equivariant cohomology of M, extending results of Goresky, Kottwitz and MacPherson and techniques of Tolman and Weitsman. Moreover, when M is equipped with an antisymplectic involution \sigma anticommuting with the action of T, we also extend to this noncompact setting the ``mod 2'' versions of these results to the real locus Q:= M^\sigma of M. We give applications of these results to the theory of hypertoric varieties.

Affiliated with

Also associated with

No associations

Rating

The equivariant cohomology of hypertoric varieties and their real loci 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 The equivariant cohomology of hypertoric varieties and their real loci, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The equivariant cohomology of hypertoric varieties and their real loci will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-261491