Title | Infinite-dimensional Frobenius manifolds underlying the Toda lattice hierarchy |
Publication Type | Journal Article |
Year of Publication | 2014 |
Authors | Wu, 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. |
URL | http://urania.sissa.it/xmlui/handle/1963/35026 |
DOI | 10.1016/j.aim.2014.01.013 |
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