Towards Lax formulation of integrable hierarchies of topological type

DOI10.1007/s00220-014-1898-zzbMath1305.37034arXiv1201.3928OpenAlexW3098210572MaRDI QIDQ2447582

Guido Carlet, Hessel Posthuma, Sergey Shadrin, Johan W. van de Leur

Publication date: 28 April 2014

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

Full work available at URL: https://arxiv.org/abs/1201.3928

zbMATH Keywords

integrabilityGivental groupDubrovin-Zhang hierarchiesHirota quadratic equationsSato-Wilson equations

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)

Related Items (2)

Higher genera Catalan numbers and Hirota equations for extended nonlinear Schrödinger hierarchy ⋮ Open topological recursion relations in genus 1 and integrable systems

Cites Work

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• Hirota quadratic equations for the extended Toda hierarchy
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• Tautological relations and the $r$-spin Witten conjecture
• The Equivariant Gromov–Witten Theory of and Integrable Hierarchies
• The spaces of Laurent polynomials, Gromov-Witten theory of ℙ1-orbifolds and integrable hierarchies
• BCOV theory via Givental group action on cohomological field theories
• The n-component KP hierarchy and representation theory

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