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On the strong DR/DZ equivalence conjecture

arXiv:2405.12334

Abstract

We establish the Miura equivalence of two integrable systems associated to a semi-simple cohomological field theory: the double ramification hierarchy of Buryak and the Dubrovin-Zhang hierarchy. This equivalence was conjectured by Buryak and further refined by Buryak, Dubrovin, Guéré, and Rossi.

On the strong DR/DZ equivalence conjecture · wovepaper