A Class of Infinite-dimensional Frobenius Manifolds and their Submanifolds

DOI10.1093/imrn/rnr192zbMath1266.53080arXiv1103.4048OpenAlexW2964048378MaRDI QIDQ3165349

Dingdian Xu, Chao-Zhong Wu

Publication date: 26 October 2012

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

Full work available at URL: https://arxiv.org/abs/1103.4048

zbMATH Keywords

Frobenius manifoldprincipal hierarchy

Mathematics Subject Classification ID

Infinite-dimensional manifolds (58B99) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

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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 the Toda lattice hierarchy ⋮ 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 ⋮ Classification of integrable two-component Hamiltonian systems of hydrodynamic type in 2 + 1 dimensions

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