Infinite-dimensional Frobenius manifolds underlying the Toda lattice hierarchy

DOI10.1016/j.aim.2014.01.013zbMath1312.53113arXiv1305.1030OpenAlexW2963886780MaRDI QIDQ2445929

Chao-Zhong Wu, Dafeng Zuo

Publication date: 15 April 2014

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.1030

zbMATH Keywords

Hamiltonian structureFrobenius manifoldToda lattice hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Lattice dynamics; integrable lattice equations (37K60)

Related Items (4)

An extension of the Kadomtsev-Petviashvili hierarchy and its Hamiltonian structures ⋮ Frobenius manifolds and a new class of extended affine Weyl groups of a-type ⋮ Infinite-dimensional Frobenius manifolds underlying an extension of the dispersionless Kadomtsev-Petviashvili hierarchy ⋮ Principal hierarchies of infinite-dimensional Frobenius manifolds: the extended 2D Toda lattice

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