Topological recursion for Kadomtsev-Petviashvili tau functions of hypergeometric type

DOI10.1112/jlms.12946zbMATH Open1547.37079MaRDI QIDQ6561012

Maxim E. Kazaryan, P. I. Dunin-Barkowski, Sergey Shadrin, B. S. Bychkov

Publication date: 24 June 2024

Published in: Journal of the London Mathematical Society. Second Series (Search for Journal in Brave)

zbMATH Keywords

Grothendieck-Riemann-Roch formulaChekhov-Eynard-Orantin topological recursionKadomtsev-Petviashvili tau functionsOrlov-Scherbin partition functions

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Families, moduli of curves (algebraic) (14H10) Topological field theories in quantum mechanics (81T45) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Relationships between algebraic curves and integrable systems (14H70) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Generalized hypergeometric series, ({}_pF_q) (33C20) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

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Related Items (6)

Topological recursion for Orlov-Scherbin tau functions, and constellations with internal faces ⋮ Topological recursion on transalgebraic spectral curves and Atlantes Hurwitz numbers ⋮ Topological recursion, symplectic duality, and generalized fully simple maps ⋮ Symplectic duality for topological recursion ⋮ On the \(x\)-\(y\) symmetry of correlators in topological recursion via loop insertion operator ⋮ \(x-y\) duality in topological recursion for exponential variables via quantum dilogarithm

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