Cohomology pairings on singular quotients in geometric invariant theory

Date

2003

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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