Geometry of the complex of curves and of Teichmüller space

  • Ursula Hamenstädt

    Universität Bonn, Germany
Geometry of the complex of curves and of Teichmüller space cover
Download Chapter PDF

A subscription is required to access this book chapter.

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.