Train tracks and the Gromov boundary of the complex of curves
arXiv:math/0409611
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We give a combinatorial proof of an unpublished result of E. Klarreich: The Gromov boundary of the complex of curves of a non-exceptional oriented surface S of finite type can naturally be identified with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