8 papers
Bihamiltonian tests for integrable systems associated to rank- F-CohFTs
Alexandr Buryak, Jianghao Xu, Di Yang
Double ramification (DR) hierarchies associated to rank- F-CohFTs are important integrable perturbations of the Riemann--Hopf hierarchy. In this paper, we perform bihamiltonian…
On a class of integrable deformations of the integrable hierarchy of topological type associated to a semisimple Frobenius manifold
Si-Qi Liu, Paolo Rossi, Di Yang +1
Given a semisimple Frobenius manifold, we construct a class of integrable deformations of its hierarchy of topological type. We show that these integrable deformations have polynom…
The loop equation for the Burgers--KdV hierarchy
Di Yang, Chunhui Zhou
The Burgers--KdV hierarchy was introduced towards understanding intersection numbers on the moduli space of Riemann surfaces with boundaries. The goal of this paper is to derive th…
On an infinite commuting ODE system associated to a simple Lie algebra
Di Yang, Cheng Zhang, Zejun Zhou
Inspired by a recent work of Dubrovin [7], for each simple Lie algebra , we introduce an infinite family of pairwise commuting ODEs and define their -functions. We…
Galilean symmetry of the KdV hierarchy
Jianghao Xu, Di Yang
By solving the infinitesimal Galilean symmetry for the KdV hierarchy, we obtain an explicit expression for the corresponding one-parameter Lie group, which we call the Galilean sym…
Remarks on intersection numbers and integrable hierarchies. II. Tau-structure
Daniele Valeri, Di Yang
For systems of evolutionary partial differential equations the tau-structure is an important notion which originated from the deep relation between integrable systems and quantum f…
From Toda Hierarchy to KP Hierarchy
Di Yang, Jian Zhou
Using the matrix-resolvent method and a formula of the second-named author on the -point function for a KP tau-function, we show that the tau-function of an arbitrary solution t…
Representing topological full groups in Steinberg algebras and C*-algebras
Becky Armstrong, Lisa Orloff Clark, Mahya Ghandehari +2
We study the natural representation of the topological full group of an ample Hausdorff groupoid in the groupoid's complex Steinberg algebra and in its full and reduced C*-algebras…