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A Short Note on Short Pants

Published online by Cambridge University Press:  20 November 2018

Hugo Parlier
Hugo Parlier*
Affiliation:
Department of Mathematics, University of Fribourg, Switzerland e-mail: hugo.parlier@unifr.ch
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Abstract

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It is a theorem of Bers that any closed hyperbolic surface admits a pants decomposition consisting of curves of bounded length where the bound only depends on the topology of the surface. The question of the quantification of the optimal constants has been well studied, and the best upper bounds to date are linear in genus, due to a theorem of Buser and Seppälä. The goal of this note is to give a short proof of a linear upper bound that slightly improves the best known bound.

Keywords

30F1032G1553C22hyperbolic surfacesgeodesicspants decompositions

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 57 , Issue 4 , 01 December 2014, pp. 870 - 876
Copyright
Copyright © Canadian Mathematical Society 2014

References

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