Infinite-dimensional Frobenius Manifolds Underlying the Toda Lattice Hierarchy
Mathematical Physics
2014-02-10 v2 Differential Geometry
math.MP
Abstract
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 defined by Dubrovin and Zhang.
Keywords
Cite
@article{arxiv.1305.1030,
title = {Infinite-dimensional Frobenius Manifolds Underlying the Toda Lattice Hierarchy},
author = {Chao-Zhong Wu and Dafeng Zuo},
journal= {arXiv preprint arXiv:1305.1030},
year = {2014}
}
Comments
37pages, publised version