Skip to Main content Skip to Navigation
Conference papers

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.
Complete list of metadata

Cited literature [23 references]  Display  Hide  Download

https://hal.inria.fr/hal-01185183
Contributor : Coordination Episciences Iam <>
Submitted on : Wednesday, August 19, 2015 - 11:44:41 AM
Last modification on : Thursday, May 11, 2017 - 1:03:05 AM
Long-term archiving on: : Friday, November 20, 2015 - 10:42:53 AM

File

dmAJ0119.pdf
Publisher files allowed on an open archive

Identifiers

  • HAL Id : hal-01185183, version 1

Collections

Citation

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. ⟨hal-01185183⟩

Share

Metrics

Record views

85

Files downloads

523