Variational Bihamiltonian Cohomologies and Integrable Hierarchies II: Virasoro symmetries

Abstract

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 admits an infinite set of Virasoro symmetries.

References in corpus (13)

• Normal forms of hierarchies of integrable PDEs, Frobenius manifolds and Gromov - Witten invariants
• Deformations of Semisimple Bihamiltonian Structures of Hydrodynamic Type
• Compatible Poisson brackets of hydrodynamic type
• Hamiltonian operators and l*-coverings
• Nonperturbative Solution of the Super-Virasoro Constraints
• Bihamiltonian Cohomologies and Integrable Hierarchies I: A Special Case
• Bihamiltonian Cohomologies and Integrable Hierarchies II: the Tau Structures
• Exact Poisson pencils, $\tau$-structures and topological hierarchies
• Super tau-covers of bihamiltonian integrable hierarchies
• Weakly nonlocal Poisson brackets, Schouten brackets and supermanifolds
• Variational Bihamiltonian Cohomologies and Integrable Hierarchies II: Virasoro symmetries
• Variational Bihamiltonian Cohomologies and Integrable Hierarchies I: Foundations
• Linearization of Virasoro symmetries associated with semisimple Frobenius manifolds

Cited by in corpus (3)

• Variational Bihamiltonian Cohomologies and Integrable Hierarchies II: Virasoro symmetries
• Variational Bihamiltonian Cohomologies and Integrable Hierarchies I: Foundations
• Linearization of Virasoro symmetries associated with semisimple Frobenius manifolds