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Infinite-dimensional Frobenius manifolds underlying the Toda lattice hierarchy

TitleInfinite-dimensional Frobenius manifolds underlying the Toda lattice hierarchy
Publication TypeJournal Article
Year of Publication2014
AuthorsWu, C, Zuo, D
Abstract

Following the approach of Carlet et al. (2011) [9], we construct a class of infinite-dimensional Frobenius manifolds underlying the Toda lattice hierarchy, which are defined on the space of pairs of meromorphic functions with possibly higher-order poles at the origin and at infinity. We also show a connection between these infinite-dimensional Frobenius manifolds and the finite-dimensional Frobenius manifolds on the orbit space of extended affine Weyl groups of type A defined by Dubrovin and Zhang.

URLhttp://urania.sissa.it/xmlui/handle/1963/35026
DOI10.1016/j.aim.2014.01.013

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