Infinite-dimensional Frobenius manifolds underlying the Toda lattice hierarchy
Infinite-dimensional Frobenius manifolds underlying the Toda lattice hierarchy
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Toda 晶格层次结构下的无限维 Frobenius 流形
DOI：
10.1016/j.aim.2014.01.013
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发表时间：
2014
影响因子：
1.7
通讯作者：
Zuo Dafeng
中科院分区：
文献类型：
--
作者：
Wu Chao-Zhong;Zuo Dafeng
遵循Carlet等人的方法。(2011)[9]，我们构造了一类支撑Toda格族的无限维Frobenius流形，它定义在原点和无穷远处可能具有更高阶极点的亚纯函数对的空间上。我们还证明了这些无限维Frobenius流形与Dubrovin和Zhang定义的扩展的A型仿射Weyl群的轨道空间上的有限维Frobenius流形之间的联系。
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.