14 citations · 18 across the 4 of their papers we have counts for
4 papers
A proof of the Hodge universality conjecture at nonzero dispersion
Francisco Hernández Iglesias
We prove that a scalar tau-symmetric Hamiltonian deformation of the Riemann hierarchy in generalized standard form is uniquely determined by the nonzero coefficient of and…
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…
A conjectural formula for
Alexandr Buryak, Francisco Hernández Iglesias, Sergey Shadrin
We propose a conjectural formula for and check all its expected properties. Our formula refines the one point case of a similar conjecture made by the first named…
Bi-Hamiltonian recursion, Liu-Pandharipande relations, and vanishing terms of the second Dubrovin-Zhang bracket
Francisco Hernández Iglesias, Sergey Shadrin
The Dubrovin-Zhang hierarchy is a Hamiltonian infinite-dimensional integrable system associated to a semi-simple cohomological field theory or, alternatively, to a semi-simple Dubr…