Infinite Unicorn Paths and Gromov Boundaries
Geometric Topology
2015-11-04 v2
Abstract
We extend the notion of unicorn paths between two arcs introduced by Hensel, Przytycki and Webb to the case where we replace one arc with a geodesic asymptotic to a lamination. Using these paths, we give new proofs of the results of Klarreich and Schleimer identifying the Gromov boundaries of the curve graph and the arc graph, respectively, as spaces of laminations.
Cite
@article{arxiv.1508.02296,
title = {Infinite Unicorn Paths and Gromov Boundaries},
author = {Witsarut Pho-on},
journal= {arXiv preprint arXiv:1508.02296},
year = {2015}
}
Comments
11 pages, 2 figures