A new method for counting coverings over manifold with finitely generated fundamental group

DOI10.1134/S1064562406040089zbMath1140.57003MaRDI QIDQ2477448

Alexander Mednykh

Publication date: 13 March 2008

Published in: Doklady Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Conjugacy classes for groups (20E45) Enumerative combinatorics (05A99)

Related Items (7)

Families of elliptic functions, realizing coverings of the sphere, with branch-points and poles of arbitrary multiplicities ⋮ Uniformization of one-parametric families of complex tori ⋮ On the enumeration of circular maps with given number of edges ⋮ Counting conjugacy classes of subgroups in a finitely generated group. ⋮ Enumeration of maps regardless of genus: geometric approach ⋮ Families of elliptic functions and uniformization of complex tori with a unique point over infinity ⋮ Universal quantum computing and three-manifolds

Cites Work

• Number of nonequivalent coverings over a nonorientable compact surface
• Enumerating representations in finite wreath products
• Enumerating representations in finite wreath products. II: Explicit formulae
• ENUMERATION OF HOMOMORPHISMS AND SURFACE-COVERINGS
• Enumeration of subgroups in the fundamental groups of orientable circle bundles over surfaces
• Subgroups of Finite Index in Free Groups

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