Gromov-Witten invariants of the moduli of bundles on a surface

Details Gromov-Witten invariants of the moduli of bundles on a surface Gromov-Witten invariants of the moduli of bundles on a surface

1999-10-20

arxiv.org/abs/math/9910105v1

Mathematics

Algebraic Geometry

14 pages, no figures

Scientific paper

We produce an equality between the Gromov-Witten invariants of the moduli space M of rank two odd degree stable vector bundles over a Riemann surface $\Sigma$ and the Donaldson invariants of the algebraic surface $\Sigma \times P^1$. We discuss on to how extent the Quantum cohomology of M determines its Gromow-Witten invariants. Finally we find the isomorphism between the usual cohomology and the Quantum cohomology for the moduli space M over a Riemann surface of genus g=3.

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