Cohomology pairings on singular quotients in geometric invariant theory
Algebraic Geometry
2007-05-23 v3 Symplectic Geometry
Abstract
In this paper we shall give formulas for the pairings of intersection cohomology classes of complementary dimensions in the intersection cohomology of geometric invariant theoretic quotients for which semistability is not necessarily the same as stability (although we make some weaker assumptions on the action). We also give formulas for intersection pairings on resolutions of singularities (or more precisely partial resolutions, since orbifold singularities are allowed) of the quotients.
Keywords
Cite
@article{arxiv.math/0101079,
title = {Cohomology pairings on singular quotients in geometric invariant theory},
author = {Lisa C. Jeffrey and Young-Hoon Kiem and Frances Kirwan and Jonathan Woolf},
journal= {arXiv preprint arXiv:math/0101079},
year = {2007}
}
Comments
49 pages, LaTeX23; corrected theorem numbers to be consistent with the published version