The shadow of a Thurston geodesic to the curve graph
Geometric Topology
2016-05-13 v2
Abstract
We study the geometry of the Thurston metric on Teichmuller space by examining its geodesics and comparing them to Teichmuller geodesics. We show that, similar to a Teichmuller geodesic, the shadow of a Thurston geodesic to the curve graph is a reparametrized quasi-geodesic. However, we show that the set of short curves along the two geodesics are not identical.
Keywords
Cite
@article{arxiv.1405.1465,
title = {The shadow of a Thurston geodesic to the curve graph},
author = {Anna Lenzhen and Kasra Rafi and Jing Tao},
journal= {arXiv preprint arXiv:1405.1465},
year = {2016}
}
Comments
34 pages, 10 figures, minor revisions, final version appears in Journal of Topology