Intersection pairings on singular moduli spaces of bundles over a Riemann surface and their partial desingularisations

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dc.creatorJeffrey, Lisa C.
dc.creatorKiem, Young-Hoon
dc.creatorKirwan, Frances C.
dc.creatorWoolf, Jonathan
dc.date2005-05-17
dc.date2006-03-03
dc.date.accessioned2026-07-07T06:39:59Z
dc.date.available2026-07-07T06:39:59Z
dc.descriptionThis paper studies intersection theory on the compactified moduli space M(n,d) of holomorphic bundles of rank n and degree d over a fixed compact Riemann surface of genus g > 1 where n and d may have common factors. Because of the presence of singularities we work with the intersection cohomology groups defined by Goresky and MacPherson and the ordinary cohomology groups of a certain partial resolution of singularities of M(n,d). Based on our earlier work, we give a precise formula for the intersection cohomology pairing and provide a method to calculate pairings on the partial resolution of singularities of M(n,d). The case when n=2 is discussed in detail. Finally Witten's integral is considered for this singular case.
dc.description51 pages; 1 figure
dc.identifierhttps://arxiv.org/abs/math/0505362
dc.identifierhttp://arxiv.org/abs/math/0505362
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101281
dc.subjectAlgebraic Geometry
dc.subjectSymplectic Geometry
dc.subject53D99
dc.titleIntersection pairings on singular moduli spaces of bundles over a Riemann surface and their partial desingularisations
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