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arXiv · 2608.00462

Triple Hodge integrals and constant Poisson brackets for rank-one Dubrovin-Zhang hierarchies

Xavier Blot·Guido Carlet·Dimitrios Makris·Sergey Shadrin
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Abstract

We prove a conjecture of Dubrovin, Liu, Yang, and Zhang that states that the Poisson bracket of the Dubrovin-Zhang hierarchy of a rank-one cohomological field theory is constant if and only if it is given by the triple Hodge class with the parameters satisfying the Calabi-Yau condition.

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Xavier Blot, Guido Carlet, Dimitrios Makris, Sergey Shadrin. 2026-08-01. Triple Hodge integrals and constant Poisson brackets for rank-one Dubrovin-Zhang hierarchies. https://arxiv.org/abs/2608.00462

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