Diagonal tau-functions of 2d Toda lattice hierarchy, connected \((n,m)\)-point functions, and double Hurwitz numbers

DOI10.3842/sigma.2023.085arXiv2210.08712OpenAlexW4388341724MaRDI QIDQ6084914

Chenglang Yang, Zhiyuan Wang

Publication date: 2 December 2023

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.08712

zbMATH Keywords

boson-fermion correspondencedouble Hurwitz numbers2d Toda lattice hierarchyconnected \((n, m)\)-point functions

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) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

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