Integrable Systems of Double Ramification Type

DOI10.1093/imrn/rnz029zbMath1464.37071arXiv1609.04059OpenAlexW3098650722WikidataQ128539464 ScholiaQ128539464MaRDI QIDQ5854284

Jérémy Guéré, Alexandr Buryak, Paolo Rossi, B. A. Dubrovin

Publication date: 16 March 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.04059

zbMATH Keywords

quantizationcohomological field theoriesdouble ramification hierarchyMiura equivalence conjecture

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Topological field theories in quantum mechanics (81T45) 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) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items (12)

The bi-Hamiltonian structures of the DR and DZ hierarchies in the approximation up to genus one ⋮ Bi-Hamiltonian recursion, Liu-Pandharipande relations, and vanishing terms of the second Dubrovin-Zhang bracket ⋮ A GENERALISATION OF WITTEN’S CONJECTURE FOR THE PIXTON CLASS AND THE NONCOMMUTATIVE KDV HIERARCHY ⋮ Laguerre ensemble: correlators, Hurwitz numbers and Hodge integrals ⋮ Flat F-manifolds, F-CohFTs, and integrable hierarchies ⋮ Simple Lax description of the ILW hierarchy ⋮ Integrability, quantization and moduli spaces of curves ⋮ DR/DZ equivalence conjecture and tautological relations ⋮ Extended \(r\)-spin theory in all genera and the discrete KdV hierarchy ⋮ Quadratic double ramification integrals and the noncommutative KdV hierarchy ⋮ The quantum Witten-Kontsevich series and one-part double Hurwitz numbers ⋮ On the spectral problem of the quantum KdV hierarchy

This page was built for publication: Integrable Systems of Double Ramification Type