Enumeration of Branched Coverings of Nonorientable Surfaces With Cyclic Branch Points

DOI10.1137/S0895480103424043zbMath1099.57003OpenAlexW2155757773MaRDI QIDQ5470767

Jin Ho Kwok, Alexander Mednykh, Valery A. Liskovets

Publication date: 1 June 2006

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0895480103424043

zbMATH Keywords

fundamental groupHurwitz numberRamanujan sumpermutation tuplevon Sterneck functioncovering of a nonorientable surfacecyclic branch point

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Covering spaces and low-dimensional topology (57M10) Low-dimensional topology of special (e.g., branched) coverings (57M12) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Related Items (4)

Explicit computation of some families of Hurwitz numbers ⋮ Realizations of certain odd-degree surface branch data ⋮ Explicit computation of some families of Hurwitz numbers. II ⋮ The Hurwitz existence problem for surface branched covers

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