Geometry of the complex of curves and of Teichmueller space

2005/02/12 by Ursula Hamenstaedt, Hamenstaedt, Ursula
Mathematics · #30F60 #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:30F60

paper · pdf · doi:10.48550/arxiv.math/0502256

17 pages, 2 figures; final version, to appear in "Handbook of Teichmueller theory"

arxiv created 2007/01/15 · arxiv updated 2009/12/01

Abstract

In this survey paper we give a proof of hyperbolicity of the complex of curves for a non-exceptional surface S of finite type combining ideas of Masur/Minsky and Bowditch. We also shortly discuss the relation between the geometry of the complex of curves and the geometry of Teichmueller space.

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• Geometry of the complex of curves II: Hierarchical structure
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• Infinite topology of curve complexes and non-Poincare duality of Teichmueller modular groups