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Infinite-dimensional Frobenius Manifolds Underlying the Toda Lattice Hierarchy

Following the approach of Carlet et al.(2011)\cite{CDM}, 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.

preprint2014arXivOpen access
Chao-Zhong WuDafeng Zuo
math-phmath.MPmath.DG
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Chao-Zhong WuDafeng Zuo

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