66 citations · 66 across the 4 of their papers we have counts for
4 papers
An application of the nonlinear reciprocal transformations in the theory of DR hierarchies
Alexandr Buryak, Mikhail Troshkin
We prove that the DR hierarchy corresponding to the family of F-cohomological field theories without unit considered in a previous work of the first author together with D. Gubarev…
Intersection numbers with Pixton's class and the noncommutative KdV hierarchy
Alexandr Buryak, Paolo Rossi
The Pixton class is a nonhomogeneous cohomology class on the moduli space of stable curves , with nontrivial terms in degree , whose…
Counting meromorphic differentials on
Alexandr Buryak, Paolo Rossi
We give explicit formulas for the number of meromorphic differentials on with two zeros and any number of residueless poles and for the number of meromorphic differ…
Double ramification cycles and integrable hierarchies
A. Buryak
It this paper we present a new construction of a hamiltonian hierarchy associated to a cohomological field theory. We conjecture that in the semisimple case our hierarchy is relate…