Explicit computation of some families of Hurwitz numbers. II

DOI10.1515/advgeom-2020-0013zbMath1481.57031arXiv1807.11067OpenAlexW3094942213MaRDI QIDQ2663678

Carlo Petronio

Publication date: 19 April 2021

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.11067

zbMATH Keywords

branched coveringHurwitz numberHurwitz problemdessins d'enfantbranch dataequivalent coverings

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Planar graphs; geometric and topological aspects of graph theory (05C10) Low-dimensional topology of special (e.g., branched) coverings (57M12) Riemann surfaces (30F99)

Related Items (1)

The Hurwitz existence problem for surface branched covers

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonequivalent coverings of Riemann surfaces with a prescribed ramification type
• Graphs on surfaces and their applications. Appendix by Don B. Zagier
• Enumerating branched coverings over surfaces with boundaries
• Distributions of regular branched surface coverings.
• Explicit computation of some families of Hurwitz numbers
• The Hurwitz enumeration problem of branched covers and Hodge integrals
• On certain permutation groups and sums of two squares
• Branched covers of the sphere and the prime-degree conjecture
• Enumeration of branched coverings of closed orientable surfaces whose branch orders coincide with multiplicity
• Realizability and exceptionality of candidate surface branched covers: methods and results
• SOLUTION OF THE HURWITZ PROBLEM FOR LAURENT POLYNOMIALS
• Surface branched covers and geometric 2-orbifolds
• Realizability of Branched Coverings of Surfaces
• Enumeration of Branched Coverings of Nonorientable Surfaces With Cyclic Branch Points

This page was built for publication: Explicit computation of some families of Hurwitz numbers. II