Intersection pairings in moduli spaces of holomorphic bundles on a Riemann surface

Jeffrey, Lisa; Kirwan, Frances

doi:10.1090/S1079-6762-95-02002-6

Intersection pairings in moduli spaces of holomorphic bundles on a Riemann surface

Authors: Lisa C. Jeffrey and Frances C. Kirwan
Journal: Electron. Res. Announc. Amer. Math. Soc. 1 (1995), 57-71
MSC (1991): Primary 58F05, 14F05, 53C05
DOI: https://doi.org/10.1090/S1079-6762-95-02002-6
MathSciNet review: 1350681
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Abstract: We outline a proof of 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) and fixed determinant on a Riemann surface of genus $g \ge 2$.

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