Infinite-dimensional Frobenius manifolds underlying the Toda lattice hierarchy |
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| Authors: | Chao-Zhong Wu Dafeng Zuo |
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| Institution: | 1. Marie Curie fellow of the Istituto Nazionale di Alta Matematica, SISSA, Via Bonomea 265, 34136 Trieste, Italy;2. School of Mathematical Science, University of Science and Technology of China, Hefei 230026, PR China;3. Wu Wen-Tsun Key Laboratory of Mathematics, USTC, Chinese Academy of Sciences, PR China |
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| 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. |
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| Keywords: | primary 53D45 secondary 32M10 |
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