Wreath Hurwitz numbers, colored cut-and-join equations, and 2-Toda hierarchy
For an arbitrary finite group \(G\), it is proved that the generating function of \(G\)-wreath double Hurwitz numbers satisfies a differential equation and that this generating function is a product of several copies of tau-functions of the \(2\)-Toda hierarchy, in independent variables.
scientific article; zbMATH DE number 6131109
scientific article