DOAJ Open Access 2008

Enumeration of orientable coverings of a non-orientable manifold

Jin Ho Kwak Alexander Mednykh Roman Nedela

Lihat Sumber DOI

Abstrak

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.

Topik & Kata Kunci

Mathematics

Penulis (3)

Jin Ho Kwak

Alexander Mednykh

Roman Nedela

Format Sitasi

APA MLA BibTeX

Kwak, J.H., Mednykh, A., Nedela, R. (2008). Enumeration of orientable coverings of a non-orientable manifold. https://doi.org/10.46298/dmtcs.3647

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.3647

Informasi Jurnal

Tahun Terbit: 2008
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.3647
Akses: Open Access ✓