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

1997/11/24 by Vicente Muñoz, Muñoz, Vicente
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #alg-geom #dg-ga #math.AG #math.DG

paper · pdf · doi:10.48550/arxiv.alg-geom/9711030

15 pages, LaTeX2e, no figures

arxiv created 1997/11/24 · openalex publication_date 1997/11/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We determine the quantum cohomology of the moduli space of odd degree rank\ntwo stable vector bundles over a Riemann surface \Σ of any genus. This\nwork together with dg-ga/9710029 prove that this quantum cohomology is\nisomorphic to the instanton Floer cohomology of the three manifold \Σ\n\× S¹. (Note: There is some overlap with the previous paper:\nalg-geom/9711013).\n

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