Ideal cell-decompositions for a hyperbolic surface and Euler characteristic

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Sozen Y.

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


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.