The authors prove Dubrovin, Liu, Yang, and Zhang's conjecture: for rank-one cohomological field theories, the Dubrovin-Zhang hierarchy has a constant Poisson bracket if and only if the underlying theory is a triple Hodge class with the Calabi-Yau condition.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AG 1years
2026 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Triple Hodge integrals and constant Poisson brackets for rank-one Dubrovin-Zhang hierarchies
The authors prove Dubrovin, Liu, Yang, and Zhang's conjecture: for rank-one cohomological field theories, the Dubrovin-Zhang hierarchy has a constant Poisson bracket if and only if the underlying theory is a triple Hodge class with the Calabi-Yau condition.