Intersection theory on moduli spaces of holomorphic bundles of arbitrary rank on a Riemann surface

Details Intersection theory on moduli spaces of holomorphic bundles of arbitrary rank on a Riemann surface Intersection theory on moduli spaces of holomorphic bundles of arbitrary rank on a Riemann surface

1996-08-23

arxiv.org/abs/alg-geom/9608029v2

Physics

High Energy Physics

High Energy Physics - Theory

77 pages, LaTeX version 2.09. This is the text of the revised version which will appear in Annals of Mathematics. An error in

Scientific paper

We prove formulas (found by Witten in 1992 using physical methods) for intersection pairings in the cohomology of the moduli space M(n,d) of stable holomorphic vector bundles of rank n and degree d (assumed coprime) on a Riemann surface of genus g greater than or equal to 2. We also use these formulas for intersection numbers to obtain a proof of the Verlinde formula for the dimension of the space of holomorphic sections of a line bundle over M(n,d).

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