Contracting orbits in Outer space
Geometric Topology
2018-12-05 v3 Group Theory
Abstract
We show that strongly contracting geodesics in Outer space project to parameterized quasigeodesics in the free factor complex. This result provides a converse to a theorem of Bestvina--Feighn, and is used to give conditions for when a subgroup of has a quasi-isometric orbit map into the free factor complex. It also allows one to construct many new examples of strongly contracting geodesics in Outer space.
Cite
@article{arxiv.1502.04053,
title = {Contracting orbits in Outer space},
author = {Spencer Dowdall and Samuel J. Taylor},
journal= {arXiv preprint arXiv:1502.04053},
year = {2018}
}
Comments
v3: 20 pages. minor corrections and changes based on referee comments. Final version; accepted for publication in MathZ