Ideal cell-decompositions for a hyperbolic surface and Euler characteristic


Sozen Y.

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, vol.45, no.4, pp.965-976, 2008 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 45 Issue: 4
  • Publication Date: 2008
  • Doi Number: 10.4134/jkms.2008.45.4.965
  • Journal Name: JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.965-976

Abstract

In this article, we constructively prove that on a surface S with genus g >= 2, there exit maximal geodesic laminations with 7g - 7,...,9g - 9 leaves. Thus, S can have ideal cell- decompositions (i.e., S can be (ideally) triangulated by maximal geodesic laminations) with 7g - 7,...,9g - 9 (ideal) 1-cells.