3 papers
math.AG2026
Triple Hodge integrals and constant Poisson brackets for rank-one Dubrovin-Zhang hierarchies
Xavier Blot, Guido Carlet, Dimitrios Makris +1
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…
math-ph2026
Lifts of partial cohomological field theories and examples of bi-Hamiltonian structures in the non-semisimple case
Guido Carlet, Dimitrios Makris, Sergey Shadrin
We define the lift of a partial cohomological field theory with respect to a Frobenius algebra and the corresponding lift of local polyvector fields, extending the lift procedure p…
math.DG2025
On the structure of homogeneous local Poisson brackets
Guido Carlet, Matteo Casati
We consider an arbitrary Dubrovin-Novikov bracket of degree , namely a homogeneous degree local Poisson bracket on the loop space of a smooth manifold of dimension ,…