Intersection cohomology of representation spaces of surface groups

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dc.creatorKiem, Young-Hoon
dc.date2001-01-31
dc.date.accessioned2026-07-07T04:39:54Z
dc.date.available2026-07-07T04:39:54Z
dc.descriptionWe show by studying the symplectic geometry of the extended moduli space that the intersection cohomology of the representation space $Hom(π_1(Σ),G)/G$ for a simply connected compact Lie group $G$ is naturally embedded into the $G$ equivariant cohomology of $Hom(π_1(Σ),G)$ where $Σ$ 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.
dc.identifierhttps://arxiv.org/abs/math/0101256
dc.identifierhttp://arxiv.org/abs/math/0101256
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60856
dc.subjectAlgebraic Geometry
dc.subjectSymplectic Geometry
dc.titleIntersection cohomology of representation spaces of surface groups
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