26 citations · 156 across the 18 of their papers we have counts for
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Infinite-dimensional Frobenius Manifolds and Extensions of Genus-Zero Whitham Hierarchies
Shilin Ma, Chao-Zhong Wu, Dafeng Zuo
In this paper we construct a class of infinite-dimensional Frobenius manifolds in the spaces of pairs of meromorphic functions defined on certain regions of the Riemann sphere. For…
Infinite-dimensional Frobenius Manifolds Underlying the Universal Whitham Hierarchy
Shilin Ma, Chao-Zhong Wu, Dafeng Zuo
We construct a class of infinite-dimensional Frobenius manifolds on the spaces of pairs of meromorphic functions with a pole at infinity and a movable pole. Such Frobenius manifold…
Borodin-Okounkov formula, string equation and topological solutions of Drinfeld-Sokolov hierarchies
Mattia Cafasso, Chao-Zhong Wu
We give a general method to compute the expansion of topological tau functions for Drinfeld-Sokolov hierarchies associated to an arbitrary untwisted affine Kac-Moody algebra. Our m…
Tau functions and the limit of block Toeplitz determinants
Mattia Cafasso, Chao-Zhong Wu
A classical way to introduce tau functions for integrable hierarchies of solitonic equations is by means of the Sato-Segal-Wilson infinite-dimensional Grassmannian. Every point in…
Infinite-dimensional Frobenius Manifolds Underlying the Toda Lattice Hierarchy
Chao-Zhong Wu, Dafeng Zuo
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 o…
A Class of Infinite-dimensional Frobenius Manifolds and Their Submanifolds
Chao-Zhong Wu, Dingdian Xu
We construct a class of infinite-dimensional Frobenius manifolds on the space of pairs of certain even functions meromorphic inside or outside the unit circle. Via a bi-Hamiltonian…
A Remark on Kac-Wakimoto Hierarchies of D-type
Chao-Zhong Wu
For the Kac-Wakimoto hierarchy constructed from the principal vertex operator realization of the basic representation of the affine Lie algebra , we compute the coeffici…