On the strong DR/DZ equivalence conjecture
Algebraic Geometry
2025-05-29 v2 Mathematical Physics
math.MP
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, Gu\'er\'e, and Rossi.
Cite
@article{arxiv.2405.12334,
title = {On the strong DR/DZ equivalence conjecture},
author = {Xavier Blot and Danilo Lewanski and Sergey Shadrin},
journal= {arXiv preprint arXiv:2405.12334},
year = {2025}
}