Bouchard-Klemm-Marino-Pasquetti conjecture for ℂ³
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Publication:5136631
DOI10.1090/pspum/100/01771zbMath1452.14054arXiv0910.3739OpenAlexW2925183582MaRDI QIDQ5136631
Publication date: 27 November 2020
Published in: Proceedings of Symposia in Pure Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0910.3739
Families, moduli of curves (algebraic) (14H10) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35)
Related Items (10)
Open Gromov-Witten invariants of toric Calabi-Yau 3-folds ⋮ Topological recursions of Eynard-Orantin type for intersection numbers on moduli spaces of curves ⋮ Open-closed Gromov-Witten invariants of 3-dimensional Calabi-Yau smooth toric DM stacks ⋮ A matrix model for the topological string. II: The spectral curve and mirror geometry ⋮ A generalized topological recursion for arbitrary ramification ⋮ A matrix model for the topological string. I: Deriving the matrix model ⋮ Graph sums in the remodeling conjecture ⋮ Quantum curves for Hitchin fibrations and the Eynard-Orantin theory ⋮ On the remodeling conjecture for toric Calabi-Yau 3-orbifolds ⋮ Computation of open Gromov-Witten invariants for toric Calabi-Yau 3-folds by topological recursion, a proof of the BKMP conjecture
Cites Work
- The Laplace transform of the cut-and-join equation and the Bouchard-Mariño conjecture on Hurwitz numbers
- A matrix model for simple Hurwitz numbers, and topological recursion
- Enumerative geometry of stable maps with Lagrangian boundary conditions and multiple covers of the disc
- Remodeling the B-model
- Symmetrized cut-join equation of the Mariño-Vafa formula
- A mathematical theory of the topological vertex
- A proof of a conjecture of Mariño-Vafa on Hodge integrals
- The number of ramified coverings of the sphere by the torus and surfaces of higher genera
- A formula of two-partition Hodge integrals
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