Train tracks and the Gromov boundary of the complex of curves

Details Train tracks and the Gromov boundary of the complex of curves Train tracks and the Gromov boundary of the complex of curves

2004-09-30

arxiv.org/abs/math/0409611v2

Mathematics

Geometric Topology

17 p, 2 figures

Scientific paper

We give a combinatorial proof of an unpublished result of E. Klarreich: The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.

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