| Summary: | This 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 ≥ 2 where n and d may have common factors. Because of the presence of singularities we work with the intersection cohomology groups IH*(M(n,d)) defined by Goresky and MacPherson and the ordinary cohomology groups of a certain partial resolution of singularities M̃(n,d) of M(n,d). Based on our earlier work [25], we give a precise formula for the intersection cohomology pairings and provide a method to calculate pairings on M̃(n,d). The case when n = 2 is discussed in detail. Finally Witten's integral is considered for this singular case. © Birkhäuser Boston 2006.
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