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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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