On equivariant Gromov-Witten invariants of resolved conifold with diagonal and anti-diagonal actions

DOI10.1007/s11005-022-01618-yOpenAlexW4311779894MaRDI QIDQ2110196

You-Jin Zhang, Si-Qi Liu, Chun Hui Zhou, Di Yang

Publication date: 21 December 2022

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.16812

zbMATH Keywords

Gromov-Witten invariantstopological recursion relationFrobenius manifoldcomplex projective lineresolved conifold

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

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Cites Work

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• Hodge integrals and tau-symmetric integrable hierarchies of Hamiltonian evolutionary PDEs
• The local Gromov-Witten theory of \({\mathbb{C}\mathbb{P}^1}\) and integrable hierarchies
• Topological gravity in genus \(2\) with two primary fields
• Quantum Riemann-Roch, Lefschetz and Serre
• Bihamiltonian hierarchies in 2D topological field theory at one-loop approximation
• The intrinsic normal cone
• On the \(\mathbb{C}\mathbb{P}^1\) topological sigma model and the Toda lattice hierarchy
• Generating series for GUE correlators
• On cubic Hodge integrals and random matrices
• Virasoro symmetries of the extended Toda hierarchy
• Gromov-Witten classes, quantum cohomology, and enumerative geometry
• On the genus two free energies for semisimple Frobenius manifolds
• Integrable hierarchies and the mirror model of local \({\mathbb {CP}}^{1}\)
• Frobenius manifolds and Virasoro constraints
• Hodge-GUE correspondence and the discrete KdV equation
• The Hodge-FVH correspondence
• Gromov-Witten invariants of the Riemann sphere
• Gromov-Witten theory, Hurwitz theory, and completed cycles
• The equivariant Gromov-Witten theory of \(\mathbb P^1\)
• THE TOPOLOGICAL CP¹ MODEL AND THE LARGE-N MATRIX INTEGRAL
• Generalized Legendre transformations and symmetries of the WDVV equations
• On universality of critical behaviour in Hamiltonian PDEs
• Hamiltonian Perturbations of Hyperbolic PDEs: from Classification Results to the Properties of Solutions
• Intersection theory on \overline{ℳ}_{1,4} and elliptic Gromov-Witten invariants
• Virtual moduli cycles and Gromov-Witten invariants of algebraic varieties
• Functional representation of the Ablowitz-Ladik hierarchy
• ON THE GENUS EXPANSION IN THE TOPOLOGICAL STRING THEORY
• The local Gromov-Witten theory of curves
• A mathematical theory of quantum cohomology