Cohomology pairings on singular quotients in geometric invariant theory
Date
2003
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Birkhäuser Boston
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.
Description
The original article can be found at:
www.springerlink.com
Keywords
intersection cohomology, equivariant cohomology, co-homology, moment map, localization, quantization, conjecture, convexity, varities, formula
Citation
Jeffrey, L. C., Kiem, Y. H., Kirwan, F., & Woolf, J. (2003). Cohomology pairings on singular quotients in geometric invariant theory. Transformation Groups, 8(3), 217-259.
DOI
ISSN
1083-4362
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