Family Gromov-Witten invariants for Kähler surfaces

DOI10.1215/S0012-7094-04-12317-6zbMath1059.53070arXivmath/0209402MaRDI QIDQ1885558

Junho Lee

Publication date: 11 November 2004

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

Full work available at URL: https://arxiv.org/abs/math/0209402

zbMATH Keywords

quantum cohomologyGromov-Witten invariantsKähler surfaces

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

Related Items (13)

On some cohomological properties of almost complex manifolds ⋮ Reduced open Gromov-Witten invariants on K3 surfaces and multiple cover formula ⋮ Localizing virtual cycles by cosections ⋮ The refined symplectic sum formula for Gromov–Witten invariants ⋮ Some Questions in the Theory of Pseudoholomorphic Curves ⋮ On cohomology of almost complex 4-manifolds ⋮ Open Gromov-Witten invariants on elliptic \(K3\) surfaces and wall-crossing ⋮ Sum formulas for local Gromov-Witten invariants of spin curves ⋮ Pseudoholomorphic tori in the Kodaira–Thurston manifold ⋮ On deformations of compact balanced manifolds ⋮ Low degree GW invariants of surfaces. II ⋮ Counting elliptic curves in 𝐾3 surfaces ⋮ Yau-Zaslow formula on K3 surfaces for non-primitive classes

Cites Work

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• Pseudo-holomorphic maps and bubble trees
• A conjectural generating function for numbers of curves on surfaces
• Relative Gromov-Witten invariants
• Embedded surfaces and the structure of Donaldson's polynomial invariants
• Generating functions for the number of curves on abelian surfaces
• Virtual moduli cycles and Gromov-Witten invariants of general symplectic manifolds
• Enumeration of $n$-fold tangent hyperplanes to a surface
• The enumerative geometry of $K3$ surfaces and modular forms

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