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 Please use this identifier to cite or link to this item: http://hdl.handle.net/1807/9559

 Title: Cohomology pairings on singular quotients in geometric invariant theory Authors: Jeffrey, L.C.Kiem, Y.H.Kirwan, F.Woolf, J. Keywords: intersection cohomologyequivariant cohomologyco-homologymoment maplocalizationquantizationconjectureconvexityvaritiesformula Issue Date: 2003 Publisher: Birkhäuser Boston 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. 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 URI: http://hdl.handle.net/1807/9559 ISSN: 1083-4362 Appears in Collections: Mathematics

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