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

DOI10.1215/S0012-7094-99-09816-2zbMath0969.14037arXivalg-geom/9711030MaRDI QIDQ1974931

Vicente Muñoz

Publication date: 27 March 2000

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/alg-geom/9711030

zbMATH Keywords

quantum cohomologyRiemann surfaceGromov-Witten invariantsFloer cohomologystable bundles

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Algebraic moduli problems, moduli of vector bundles (14D20) Vector bundles on curves and their moduli (14H60) Riemann surfaces; Weierstrass points; gap sequences (14H55) Symplectic structures of moduli spaces (53D30) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

Related Items

Decompositions of moduli spaces of vector bundles and graph potentials ⋮ The \(u\)-plane integral, mock modularity and enumerative geometry ⋮ Hecke correspondence, stable maps, and the Kirwan desingularization ⋮ Sutured manifolds and polynomial invariants from higher rank bundles ⋮ On the Hilbert scheme of the moduli space of vector bundles over an algebraic curve ⋮ Stable maps of genus zero in the space of stable vector bundles on a curve ⋮ Seiberg-Witten-Floer homology of a surface times a circle for non-torsion spin^ℂstructures ⋮ Nilpotency in instanton homology, and the framed instanton homology of a surface times a circle ⋮ Rational curves on moduli spaces of vector bundles

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