11 citations · 11 across the 2 of their papers we have counts for
6 papers · 1 filter
Topological recursion, symplectic duality, and generalized fully simple maps
Alexander Alexandrov, Boris Bychkov, Petr Dunin-Barkowski +2
For a given spectral curve, we construct a family of symplectic dual spectral curves for which we prove an explicit formula expressing the -point functions produced by the topol…
Matrix models for the nested hypergeometric tau-functions
Alexander Alexandrov
We introduce and investigate a family of tau-functions of the 2D Toda hierarchy, which is a natural generalization of the hypergeometric family associated with Hurwitz numbers. For…
Intersection numbers on and BKP hierarchy
Alexander Alexandrov
In their recent inspiring paper Mironov and Morozov claim a surprisingly simple expansion formula for the Kontsevich-Witten tau-function in terms of the Schur Q-functions. Here we…
KP integrability of triple Hodge integrals. II. Generalized Kontsevich matrix model
Alexander Alexandrov
In this paper we introduce a new family of the KP tau-functions. This family can be described by a deformation of the generalized Kontsevich matrix model. We prove that the simples…
Matrix model for the stationary sector of Gromov-Witten theory of
Alexander Alexandrov
In this paper we investigate the tau-functions for the stationary sector of Gromov-Witten theory of the complex projective line and its version, relative to one point. In particula…
Weighted Hurwitz numbers and topological recursion
A. Alexandrov, G. Chapuy, B. Eynard +1
The KP and 2D Toda tau-functions of hypergeometric type that serve as generating functions for weighted single and double Hurwitz numbers are related to the topological recursion p…