Pole structure of topological string free energy

DOI10.2977/prims/1166642063zbMath1106.14045arXivmath/0411357OpenAlexW2006492155MaRDI QIDQ2495267

Yukiko Konishi

Publication date: 5 July 2006

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0411357

zbMATH Keywords

Calabi-Yau threefoldsGromov-Witten invariantsGopakumar-Vafa conjecture

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Calabi-Yau theory (complex-analytic aspects) (32Q25) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Topological field theories in quantum mechanics (81T45)

Related Items (7)

A proof of N. Takahashi's conjecture for \(( \mathbb{P}^2, E)\) and a refined sheaves/Gromov-Witten correspondence ⋮ Gopakumar-Vafa BPS invariants, Hilbert schemes and quasimodular forms. I ⋮ Local Gromov-Witten invariants and tautological sheaves on Hilbert schemes ⋮ A mathematical theory of the topological vertex ⋮ Scattering diagrams, sheaves, and curves ⋮ REFINED BPS STATE COUNTING FROM NEKRASOV'S FORMULA AND MACDONALD FUNCTIONS ⋮ Local Gromov-Witten invariants of cubic surfaces via nef toric degeneration

Cites Work

• Unnamed Item
• Geometric realization of conformal field theory on Riemann surfaces
• BPS states of curves in Calabi-Yau 3-folds
• Multipoint series of Gromov-Witten invariants of \(\mathbb {CP}^1\)
• Hodge integrals and invariants of the unknot
• A proof of a conjecture of Mariño-Vafa on Hodge integrals
• The topological vertex
• Relative Lefschetz Action and BPS State Counting
• Handbook of Graph Theory
• Infinite wedge and random partitions

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