Wreath Hurwitz numbers, colored cut-and-join equations, and 2-Toda hierarchy (Q1933979)
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scientific article; zbMATH DE number 6131109
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Wreath Hurwitz numbers, colored cut-and-join equations, and 2-Toda hierarchy |
scientific article; zbMATH DE number 6131109 |
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Wreath Hurwitz numbers, colored cut-and-join equations, and 2-Toda hierarchy (English)
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28 January 2013
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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.
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Riemann surface
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generating function
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symmetric group
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Hurwitz number
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wreath product
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