Generalized string equations for double Hurwitz numbers

DOI10.1016/j.geomphys.2011.12.005zbMath1255.14046arXiv1012.5554OpenAlexW1980855390MaRDI QIDQ413691

Kanehisa Takasaki

Publication date: 7 May 2012

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.5554

zbMATH Keywords

Hurwitz numberscut-and-join operatorgeneralized string equationLambert curvequantum torus algebraToda hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items

Fermionic approach to weighted Hurwitz numbers and topological recursion ⋮ Toda hierarchies and their applications ⋮ Hurwitz numbers from Feynman diagrams ⋮ Hurwitz numbers and products of random matrices ⋮ \(q\)-difference Kac-Schwarz operators in topological string theory ⋮ Integrability properties of Hurwitz partition functions. II. Multiplication of cut-and-join operators and WDVV equations

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