The Gromov boundary of the ray graph
Geometric Topology
2018-08-29 v2
Abstract
The ray graph is a Gromov hyperbolic graph on which the mapping class group of the plane minus a Cantor set acts by isometries. We give a description of the Gromov boundary of the ray graph in terms of cliques of long rays on the plane minus a Cantor set. As a consequence, we prove that the Gromov boundary of the ray graph is homeomorphic to a quotient of a subset of the circle. This version contains some updates and corrections.
Cite
@article{arxiv.1608.04475,
title = {The Gromov boundary of the ray graph},
author = {Juliette Bavard and Alden Walker},
journal= {arXiv preprint arXiv:1608.04475},
year = {2018}
}
Comments
32 pages, 20 figures