Train tracks and the Gromov boundary of the complex of curves

Abstract

We give a combinatorial proof of an unpublished result of E. Klarreich: The Gromov boundary of the complex of curves of a non-exceptional oriented surface S of finite type can naturally be identified with the space of minimal geodesic laminations on S which fill up S, equipped with a coarse Hausdorff topology.

17 p, 2 figures

References in corpus (1)

• Geometry of the Complex of Curves I: Hyperbolicity

Cited by in corpus (27)

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