83 citations · 252 across the 20 of their papers we have counts for
22 papers
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…
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…
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 ,…
Enumeration of hypermaps and Hirota equations for extended rationally constrained KP
G. Carlet, J. van de Leur, H. Posthuma +1
We consider the Hurwitz Dubrovin--Frobenius manifold structure on the space of meromorphic functions on the Riemann sphere with exactly two poles, one simple and one of arbitrary o…
Infinite-dimensional Dubrovin-Frobenius manifolds and the Stokes phenomenon
Guido Carlet, Francisco Hernández Iglesias
We study the Dubrovin equation of the infinite-dimensional 2D Toda Dubrovin-Frobenius manifold at its irregular singularity. We first revisit the definition of the canonical coordi…
Normal forms of dispersive scalar Poisson brackets with two independent variables
Guido Carlet, Matteo Casati, Sergey Shadrin
We classify the dispersive Poisson brackets with one dependent variable and two independent variables, with leading order of hydrodynamic type, up to Miura transformations. We show…