Polynomiality of monotone Hurwitz numbers in higher genera (Q387874)
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scientific article; zbMATH DE number 6238940
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Polynomiality of monotone Hurwitz numbers in higher genera |
scientific article; zbMATH DE number 6238940 |
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Polynomiality of monotone Hurwitz numbers in higher genera (English)
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17 December 2013
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monotone Hurwitz numbers
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generating function
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Classical Hurwitz numbers count branched covers of a Riemann surface of genus \(g\) with specified ramifications. Monotone Hurwitz numbers counts a certain subset of these covers, related to the so-called Harish-Chandra-Itzykson-Zuber integral in random matrix theory.NEWLINENEWLINENEWLINEIn this paper the authors study monotone single Hurwitz numbers and obtain a precise formula for \(g=1\) and a generating function and polynomiality behavior for \(g \geq 2\).
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