Infinite-dimensional Frobenius manifolds underlying the Toda lattice hierarchy

被引：5
|
作者：
Wu, Chao-Zhong [1 ]
Zuo, Dafeng [2 ,3 ]
机构：
[1] SISSA, Ist Nazl Alta Matemat, I-34186 Trieste, Italy
[2] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China
[3] Chinese Acad Sci, USTC, Wu Wen Tsun Key Lab Math, Beijing 100864, Peoples R China
来源：
ADVANCES IN MATHEMATICS | 2014年 / 255卷
关键词：
Frobenius manifold; Toda lattice hierarchy; Hamiltonian structure;
D O I：
10.1016/j.aim.2014.01.013
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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. Crown Copyright (C) 2014 Published by Elsevier Inc. All rights reserved.
引用
收藏
页码：487 / 524
页数：38
相关论文
共 50 条
12345