Tau-Structure for the Double Ramification Hierarchies

@article{Buryak2018TauStructureFT,
  title={Tau-Structure for the Double Ramification Hierarchies},
  author={Alexandr Buryak and Boris Dubrovin and J{\'e}r{\'e}my Gu{\'e}r{\'e} and Paolo Rossi},
  journal={Communications in Mathematical Physics},
  year={2018},
  volume={363},
  pages={191-260}
}
In this paper we continue the study of the double ramification hierarchy of Buryak (Commun Math Phys 336(3):1085–1107, 2015). After showing that the DR hierarchy satisfies tau-symmetry we define its partition function as the (logarithm of the) tau-function of the string solution and show that it satisfies various properties (string, dilaton, and divisor equations plus some important degree constraints). We then formulate a stronger version of the conjecture from Buryak (2015): for any… 

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