4 papers · 1 filter
Meromorphic differentials and twisted DR hierarchies for the Hodge CohFT
Xavier Blot, Paolo Rossi, Adrien Sauvaget
In [arXiv:2408.13806], two families of classical and quantum integrable hierarchies associated to arbitrary Cohomological Field Theories (CohFTs) were introduced: the meromorphic d…
Faber's socle intersection numbers via Gromov--Witten theory of elliptic curve
Xavier Blot, Sergey Shadrin, Ishan Jaztar Singh
The goal of this very short note is to give a new proof of Faber's formula for the socle intersection numbers in the tautological ring of . This new proof exhibits a…
Cohomological representations of quantum tau functions
Xavier Blot, Danilo Lewański, Sergey Shadrin
In 2016, Buryak and Rossi introduced the quantum Double Ramification (DR) hierarchies which associate a quantum integrable hierarchy to any Cohomological Field Theory (CohFT). Shor…
Meromorphic differentials, twisted DR cycles and quantum integrable hierarchies
Xavier Blot, Paolo Rossi
We define twisted versions of the classical and quantum double ramification hierarchy construction based on intersection theory of the strata of meromorphic differentials in the mo…