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

1997/11/11 by Vicente Muñoz, Muñoz, Vicente
Mathematics · #Algebraic Geometry and Number Theory #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #alg-geom #math.AG

paper · pdf · doi:10.48550/arxiv.alg-geom/9711013

13 pages, LaTeX2e, no figures

arxiv created 1997/11/11 · arxiv updated 2009/11/30

Abstract

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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