2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79265We 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=3.14 pages, no figuresAlgebraic GeometryDifferential Geometry57R57; 14D20; 58D27text