Strongly Contracting Geodesics in Outer Space
Group Theory
2014-11-11 v3 Geometric Topology
Abstract
We study the Lipschitz metric on Outer Space and prove that fully irreducible elements of Out(F_n) act by hyperbolic isometries with axes which are strongly contracting. As a corollary, we prove that the axes of fully irreducible automorphisms in the Cayley graph of Out(F_n) are stable, meaning that a quasi-geodesic with endpoints on the axis stays within a bounded distance from the axis.
Cite
@article{arxiv.0812.1555,
title = {Strongly Contracting Geodesics in Outer Space},
author = {Yael Algom-Kfir},
journal= {arXiv preprint arXiv:0812.1555},
year = {2014}
}
Comments
37 pages. Revised applications chapter