Hyperbolic relatively hyperbolic graphs and disc graphs
Geometric Topology
2014-05-20 v2
Abstract
We show that a relatively hyperbolic graph with uniformly hyperbolic peripheral subgraphs is hyperbolic. As an application, we show that the disc graph and the electrified disc graph of a handlebody H of genus g>1 are hyperbolic, and we determine their Gromov boundaries.
Cite
@article{arxiv.1403.0910,
title = {Hyperbolic relatively hyperbolic graphs and disc graphs},
author = {Ursula Hamenstaedt},
journal= {arXiv preprint arXiv:1403.0910},
year = {2014}
}
Comments
Small corrections and clarifications