363 citations · 1.3k across the 53 of their papers we have counts for
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The Virasoro-like Algebra of a Frobenius Manifold
Si-Qi Liu, Di Yang, Youjin Zhang +1
For an arbitrary calibrated Frobenius manifold, we construct an infinite dimensional Lie algebra, called the Virasoro-like algebra, which is a deformation of the Virasoro algebra o…
Reduction of the 2D Toda Hierarchy and Linear Hodge Integrals
Si-Qi Liu, Zhe Wang, Youjin Zhang
We construct a certain reduction of the 2D Toda hierarchy and obtain a tau-symmetric Hamiltonian integrable hierarchy. This reduced integrable hierarchy controls the linear Hodge i…
Linearization of Virasoro symmetries associated with semisimple Frobenius manifolds
Si-Qi Liu, Zhe Wang, Youjin Zhang
For any semisimple Frobenius manifold, we prove that a tau-symmetric bihamiltonian deformation of its Principal Hierarchy admits an infinite family of linearizable Virasoro symmetr…
Variational Bihamiltonian Cohomologies and Integrable Hierarchies II: Virasoro symmetries
Si-Qi Liu, Zhe Wang, Youjin Zhang
We prove that for any tau-symmetric bihamiltonian deformation of the tau-cover of the Principal Hierarchy associated with a semisimple Frobenius manifold, the deformed tau-cover ad…
Tri-Hamiltonian Structure of the Ablowitz-Ladik Hierarchy
Shuangxing Li, Si-Qi Liu, Haonan Qu +1
We construct a local tri-Hamiltonian structure of the Ablowitz-Ladik hierarchy, and compute the central invariants of the associated bihamiltonian structures. We show that the cent…
Variational Bihamiltonian Cohomologies and Integrable Hierarchies I: Foundations
Si-Qi Liu, Zhe Wang, Youjin Zhang
This series of papers is devoted to the study of deformations of Virasoro symmetries of the principal hierarchies associated to semisimple Frobenius manifolds. The main tool we use…