Genus $0$ and $1$ Hurwitz numbers: Recursions, formulas, and graph-theoretic interpretations

DOI10.1090/S0002-9947-01-02776-3zbMath0980.14021OpenAlexW1510832710MaRDI QIDQ2723462

Ravi Vakil

Publication date: 5 July 2001

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-01-02776-3

zbMATH Keywords

Hurwitz numbermoduli space of stable mapslabeled partitionnumber of smooth covers of the Riemann sphere

Mathematics Subject Classification ID

Enumeration in graph theory (05C30) Families, moduli of curves (algebraic) (14H10) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Moduli problems for topological structures (58D29)

Related Items

Fuchsian groups, coverings of Riemann surfaces, subgroup growth, random quotients and random walks., Polynomiality of monotone Hurwitz numbers in higher genera, Hurwitz numbers for reflection groups I: generatingfunctionology, Topological recursion for Masur–Veech volumes, Hurwitz numbers for reflection groups. II: Parabolic quasi-Coxeter elements, Topological classification of generic real meromorphic functions from compact surfaces, Towards the geometry of double Hurwitz numbers, Cycle type factorizations in \(\mathrm{GL}_n \mathbb{F}_q\), Relative virtual localization and vanishing of tautological classes of moduli spaces of curves

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