Stability in Outer Space
Geometric Topology
2017-03-21 v2 Group Theory
Abstract
We characterize strongly Morse quasi-geodesics in Outer space as quasi-geodesics which project to quasi-geodesics in the free factor graph. We define convex cocompact subgroups of as subgroups such that an orbit map in the free factor graph is a quasi-isometric embedding, and we characterize such groups via their action on Outer space in a way which resembles the characterization of convex cocompact subgroups of mapping class groups.
Cite
@article{arxiv.1411.2281,
title = {Stability in Outer Space},
author = {Ursula Hamenstädt and Sebastian Hensel},
journal= {arXiv preprint arXiv:1411.2281},
year = {2017}
}
Comments
32 pages, no figures