On the quantum cohomology of a symmetric product of an algebraic curve.

DOI10.1215/S0012-7094-01-10825-9zbMath1050.14052arXivmath/9803026OpenAlexW2064904251MaRDI QIDQ1847842

Aaron Bertram, Michael Thaddeus

Publication date: 27 October 2002

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

Full work available at URL: https://arxiv.org/abs/math/9803026

zbMATH Keywords

quantum cohomologyGromov-Witten invariantsBrill-Noether theorysymmetric products of algebraic curves

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Special divisors on curves (gonality, Brill-Noether theory) (14H51)

Related Items (11)

Holomorphic disks and knot invariants ⋮ Moduli of vortices and Grassmann manifolds ⋮ Gromov–Witten invariants of Hilbert schemes of two points on elliptic surfaces ⋮ Quantitative Heegaard Floer cohomology and the Calabi invariant ⋮ Lagrangian matching invariants for fibred four-manifolds. II. ⋮ Higher type adjunction inequalities for Donaldson invariants ⋮ Kähler quantization of vortex moduli ⋮ On the curvature of vortex moduli spaces ⋮ Seiberg-Witten-Floer homology of a surface times a circle for non-torsion spin^ℂstructures ⋮ The geometry of the space of BPS vortex-antivortex pairs ⋮ The Gromov–Witten invariants of the Hilbert schemes of points on surfaces with p_g > 0

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