Communications in Mathematical Physics

, Volume 361, Issue 2, pp 467–524 | Cite as

Bihamiltonian Cohomologies and Integrable Hierarchies II: The Tau Structures

  • Boris Dubrovin
  • Si-Qi Liu
  • Youjin ZhangEmail author


Starting from a so-called flat exact semisimple bihamiltonian structure 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.


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© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.SISSATriesteItaly
  2. 2.Department of Mathematical SciencesTsinghua UniversityBeijingPeople’s Republic of China

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