157 citations · 373 across the 31 of their papers we have counts for
6 papers · 1 filter
Combinatorics of KP hierarchy structural constants
A. Andreev, A. Popolitov, A. Sleptsov +1
Following Natanzon-Zabrodin, we explore the Kadomtsev-Petviashvili hierarchy as an infinite system of mutually consistent relations on the second derivatives of the free energy wit…
Cut-and-join structure and integrability for spin Hurwitz numbers
A. Mironov, A. Morozov, S. Natanzon
Spin Hurwitz numbers are related to characters of the Sergeev group, which are the expansion coefficients of the Q Schur functions, depending on odd times and on a subset of all Yo…
Asymptotic Hurwitz numbers
A. Mironov, A. Morozov, S. Natanzon
The classical Hurwitz numbers of degree n together with the Hurwitz numbers of the seamed surfaces of degree n give rise to the Klein topological field theory. We extend this const…
A Hurwitz theory avatar of open-closed strings
A. Mironov, A. Morozov, S. Natanzon
We review and explain an infinite-dimensional counterpart of the Hurwitz theory realization of algebraic open-closed string model a la Moore and Lizaroiu, where the closed and open…
Integrability of Hurwitz Partition Functions. I. Summary
A. Alexandrov, A. Mironov, A. Morozov +1
Partition functions often become τ-functions of integrable hierarchies, if they are considered dependent on infinite sets of parameters called time variables. The Hurwitz partition…
Complete Set of Cut-and-Join Operators in Hurwitz-Kontsevich Theory
A. Mironov, A. Morozov, S. Natanzon
We define cut-and-join operator in Hurwitz theory for merging of two branching points of arbitrary type. These operators have two alternative descriptions:(i) they have the GL char…