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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 $g >= 2$.

Copyright American Mathematical Society 1995

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Article Info

• ERA Amer. Math. Soc. 01 (1995), pp. 57-71
• Publisher Identifier: S1079-6762-95-02002-X
• 1991 Mathematics Subject Classification. 58F05, 14F05, 53C05.
• Key words and phrases. Moduli spaces, symplectic geometry, intersection pairings
• Received by the editors June 28, 1995
• Comments (When Available)

Lisa C. Jeffrey

Lisa C. Jeffrey, Mathematics Department, Princeton University, Princeton,
NJ 08544, USA

E-mail address: jeffrey@math.princeton.edu

Frances C. Kirwan

Frances C. Kirwan, Balliol College, Oxford OX1 3BJ, UK

E-mail address: fkirwan@vax.ox.ac.uk

This material is based on work supported by the National Science Foundation under Grant. No. DMS-9306029.