Enumeration of orientable coverings of a non-orientable manifold - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Conference Papers Discrete Mathematics and Theoretical Computer Science Year : 2008

Enumeration of orientable coverings of a non-orientable manifold

Abstract

In this paper we solve the known V.A. Liskovets problem (1996) on the enumeration of orientable coverings over a non-orientable manifold with an arbitrary finitely generated fundamental group. As an application we obtain general formulas for the number of chiral and reflexible coverings over the manifold. As a further application, we count the chiral and reflexible maps and hypermaps on a closed orientable surface by the number of edges. Also, by this method the number of self-dual and Petri-dual maps can be determined. This will be done in forthcoming papers by authors.
Fichier principal
Vignette du fichier
dmAJ0119.pdf (129.51 Ko) Télécharger le fichier
Origin : Publisher files allowed on an open archive
Loading...

Dates and versions

hal-01185183 , version 1 (19-08-2015)

Identifiers

Cite

Jin Ho Kwak, Alexander Mednykh, Roman Nedela. Enumeration of orientable coverings of a non-orientable manifold. 20th Annual International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2008), 2008, Viña del Mar, Chile. pp.215-226, ⟨10.46298/dmtcs.3647⟩. ⟨hal-01185183⟩

Collections

INSMI TDS-MACS
53 View
411 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More