The hypertoric intersection cohomology ring
Algebraic Geometry
2015-05-13 v3 Algebraic Topology
Symplectic Geometry
Abstract
We present a functorial computation of the equivariant intersection cohomology of a hypertoric variety, and endow it with a natural ring structure. When the hyperplane arrangement associated with the hypertoric variety is unimodular, we show that this ring structure is induced by a ring structure on the equivariant intersection cohomology sheaf in the equivariant derived category. The computation is given in terms of a localization functor which takes equivariant sheaves on a sufficiently nice stratified space to sheaves on a poset.
Cite
@article{arxiv.0802.0641,
title = {The hypertoric intersection cohomology ring},
author = {Tom Braden and Nicholas J. Proudfoot},
journal= {arXiv preprint arXiv:0802.0641},
year = {2015}
}
Comments
Significant revisions in Section 5, with several corrected proofs