Limit sets of Weil-Petersson geodesics with nonminimal ending laminations
Geometric Topology
2018-08-02 v2 Differential Geometry
Dynamical Systems
Abstract
In this paper we construct examples of Weil-Petersson geodesics with nonminimal ending laminations which have 1-dimensional limit sets in the Thurston compactification of Teichm\"{u}ller space.
Keywords
Cite
@article{arxiv.1711.01663,
title = {Limit sets of Weil-Petersson geodesics with nonminimal ending laminations},
author = {Jeffrey Brock and Christopher Leininger and Babak Modami and Kasra Rafi},
journal= {arXiv preprint arXiv:1711.01663},
year = {2018}
}
Comments
27 pages, 4 figures; the paper was revised, in particular some pictures were added to section 3 to illustrate the construction. Also, Theorem 2.3 about the combinatorial estimate for the hyperbolic length of a curve on a Riemann surface is included. The paper will appear in J. Topol. Anal