Train tracks and the Gromov boundary of the complex of curves

U. Hamenstaedt

Train tracks and the Gromov boundary of the complex of curves

Geometric Topology 2007-05-23 v2 Differential Geometry

Authors: U. Hamenstaedt

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We give a combinatorial proof of an unpublished result of E. Klarreich: The Gromov boundary of the complex of curves of a non-exceptional oriented surface S of finite type can naturally be identified with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.

Keywords

train tracks Gromov boundary complex of curves geodesic laminations coarse Hausdorff topology oriented surface

Cite

@article{arxiv.math/0409611,
  title  = {Train tracks and the Gromov boundary of the complex of curves},
  author = {U. Hamenstaedt},
  journal= {arXiv preprint arXiv:math/0409611},
  year   = {2007}
}

Comments

17 p, 2 figures

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