## Archival Version

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Intersection Pairings in Moduli Spaces of Holomorphic Bundles on a Riemann Surface
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## Intersection pairings in moduli spaces of holomorphic bundles on a Riemann surface

### Lisa C. Jeffrey and Frances C. Kirwan

**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 $g >= 2$.

*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.

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