2 papers
math-ph2025
Open Hurwitz numbers and the mKP hierarchy
Alexandr Buryak, Ran J. Tessler, Mikhail Troshkin
We give a natural definition of open Hurwitz numbers, where the weight of each ramified covering includes an integer parameter taken to the power that is equal to the number of…
math-ph2023
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…