Curves in Calabi-Yau threefolds and topological quantum field theory

DOI10.1215/S0012-7094-04-12626-0zbMath1084.14053arXivmath/0306316OpenAlexW2068060755MaRDI QIDQ1769583

Jim Bryan, Rahul Pandharipande

Publication date: 4 April 2005

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

Full work available at URL: https://arxiv.org/abs/math/0306316

zbMATH Keywords

Calabi-Yau manifoldsGromov-Witten invariantsFrobenius invariants

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Families, moduli of curves (algebraic) (14H10) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Calabi-Yau theory (complex-analytic aspects) (32Q25)

Related Items (24)

Entanglement entropy and edge modes in topological string theory. I: Generalized entropy for closed strings. ⋮ On an Example of Quiver Donaldson–Thomas/Relative Gromov–Witten Correspondence ⋮ A NOTE ON GUNNINGHAM’S FORMULA ⋮ The closed topological vertex via the Cremona transform ⋮ Tropical correspondence for smooth del Pezzo log Calabi-Yau pairs ⋮ Local Gromov-Witten invariants are log invariants ⋮ Strong positivity for the skein algebras of the 4-punctured sphere and of the 1-punctured torus ⋮ Transversality and super-rigidity for multiply covered holomorphic curves ⋮ Stable maps to Looijenga pairs ⋮ Evaluating tautological classes using only Hurwitz numbers ⋮ Tropical refined curve counting from higher genera and lambda classes ⋮ A Klein TQFT: the local real Gromov-Witten theory of curves ⋮ The quantum tropical vertex ⋮ The local Gromov-Witten theory of curves ⋮ Quivers, curves, and the tropical vertex ⋮ The local Donaldson-Thomas theory of curves ⋮ The tropical vertex ⋮ The local Gromov-Witten invariants of configurations of rational curves ⋮ Topological string on toric CY3s in large complex structure limit ⋮ Refined floor diagrams from higher genera and lambda classes ⋮ Quantum mirrors of log Calabi–Yau surfaces and higher-genus curve counting ⋮ Quantum Barnes function as the partition function of the resolved conifold ⋮ A formula of two-partition Hodge integrals ⋮ Theta bases and log Gromov-Witten invariants of cluster varieties

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