Tuesday, May 7, 2013

1305.1030 (Chao-Zhong Wu et al.)

Infinite-dimensional Frobenius Manifolds Underlying the Toda Lattice
Hierarchy
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Chao-Zhong Wu, Dafeng Zuo
Following the approach of [Carlet et al, Math. Ann. 349 (2011), 75--115], 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. Moreover, these infinite-dimensional manifolds are shown to contain Frobenius submanifolds of finite dimension that coincide with those on the orbit space of extended affine Weyl groups of type A defined by Dubrovin and Zhang.
View original: http://arxiv.org/abs/1305.1030

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