Geometry of the complex of curves and of Teichmüller space
Ursula Hamenstädt
Universität Bonn, Germany
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Abstract
Using train tracks on a nonexceptional oriented surface S of finite type in a systematic way we give a proof that the complex of curves C(S) of S is a hyperbolic geodesic metric space. We also discuss the relation between the geometry of the complex of curves and the geometry of Teichmüller space.