Symmetric Solutions to Dispersionless 2D Toda Hierarchy, Hurwitz Numbers, and Conformal Dynamics

DOI10.1093/imrn/rnt210zbMath1353.37136arXiv1302.7288OpenAlexW2963207207MaRDI QIDQ5249708

Anton V. Zabrodin, Sergey M. Natanzon

Publication date: 11 May 2015

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

Full work available at URL: https://arxiv.org/abs/1302.7288

zbMATH Keywords

Toda hierarchyconformal dynamicsdouble Hurwitz numbers

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) 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)

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Integrable systems associated to open extensions of type A and D Dubrovin–Frobenius manifolds ⋮ Hurwitz numbers from Feynman diagrams

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