Bihamiltonian Cohomologies and Integrable Hierarchies II: the Tau Structures

Abstract

Starting from a so-called flat exact semisimple bihamiltonian structures of hydrodynamic type, we arrive at a Frobenius manifold structure and a tau structure for the associated principal hierarchy. We then classify the deformations of the principal hierarchy which possess tau structures.

52 pages

References in corpus (1)

• Double ramification cycles and integrable hierarchies

Cited by in corpus (7)

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• Super tau-covers of bihamiltonian integrable hierarchies
• Variational Bihamiltonian Cohomologies and Integrable Hierarchies II: Virasoro symmetries
• Variational Bihamiltonian Cohomologies and Integrable Hierarchies I: Foundations
• Tri-Hamiltonian Structure of the Ablowitz-Ladik Hierarchy