Primitive stability and the Bowditch conditions revisited
Geometric Topology
2020-06-19 v1
Abstract
The equivalence of two conditions on the primitive elements in an representation of the free group , namely Minsky's condition of primitive stability and the -conditions introduced by Bowditch and generalised by Tan, Wong and Zhang, has been proved by Lee and Xu and independently by the author in arXiv:1901.01396. This note is a revised version of our original proof, which is greatly simplified by incorporating some of the ideas introduced by Lee and Xu, combined with the language of the Bowditch tree.
Cite
@article{arxiv.2006.10403,
title = {Primitive stability and the Bowditch conditions revisited},
author = {Caroline Series},
journal= {arXiv preprint arXiv:2006.10403},
year = {2020}
}
Comments
20 pages , 3 figures. This paper is a substantial revision and simplification of arXiv:1901.01396