Teichm\"uller disks with small limit sets in PMF
Geometric Topology
2025-10-03 v2
Abstract
We study limit sets of Teichm\"uller disks in the Thurston boundary of Teichm\"uller space of a closed surface S of genus at least 2. It is well known that almost every Teichm\"uller geodesic ray converges to a point on the boundary. We show that unlike rays, Teichm\"uller disks with smallest possible limit sets are extremely rare.
Keywords
Cite
@article{arxiv.2510.00286,
title = {Teichm\"uller disks with small limit sets in PMF},
author = {Anna Lenzhen},
journal= {arXiv preprint arXiv:2510.00286},
year = {2025}
}
Comments
20 pages