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

Vicente Muñoz
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Abstract

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 $Σ$ and the Donaldson invariants of the algebraic surface $Σ\times P^1$. 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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Vicente Muñoz. 1999-10-20. Gromov-Witten invariants of the moduli of bundles on a surface. https://arxiv.org/abs/math/9910105

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