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- W2950366802 abstract "We show by studying the symplectic geometry of the extended moduli space that the intersection cohomology of the representation space $Hom(pi_1(Sigma),G)/G$ for a simply connected compact Lie group $G$ is naturally embedded into the $G$ equivariant cohomology of $Hom(pi_1(Sigma),G)$ where $Sigma$ is a closed Riemann surface. This enables us to compute the intersection cohomology as a graded vector space with intersection pairing, in terms of the equivariant cohomology ring. The case where $G=SU(2)$ -- the moduli space of rank 2 holomorphic vector bundles of even degree -- is discussed in detail." @default.
- W2950366802 created "2019-06-27" @default.
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- W2950366802 date "2001-01-31" @default.
- W2950366802 modified "2023-09-27" @default.
- W2950366802 title "Intersection cohomology of representation spaces of surface groups" @default.
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