First quantum correction for the moduli space of stable bundles over a Riemann surface

Details First quantum correction for the moduli space of stable bundles over a Riemann surface First quantum correction for the moduli space of stable bundles over a Riemann surface

1997-11-11

arxiv.org/abs/alg-geom/9711013v1

Mathematics

Algebraic Geometry

13 pages, LaTeX2e, no figures

Scientific paper

We compute some Gromov-Witten invariants of the moduli space of odd degree rank two stable vector bundles over a Riemann surface of any genus. Next we find the first correction term for the quantum product of this moduli space and hence get the two leading terms of the relations satisfied by the natural generators of its quantum cohomology. Finally, we use this information to get a full description of the quantum cohomology of the moduli space when the genus of the Riemann surface is 3.

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