Quantum cohomology of the moduli space of stable bundles over a Riemann surface

Abstract

We determine the quantum cohomology of the moduli space of odd degree rank two stable vector bundles over a Riemann surface $Σ$ of any genus. This work together with dg-ga/9710029 prove that this quantum cohomology is isomorphic to the instanton Floer cohomology of the three manifold $Σ\times S^1$. (Note: There is some overlap with the previous paper: alg-geom/9711013).