Random veering triangulations are not geometric
Geometric Topology
2020-11-26 v2
Abstract
Every pseudo-Anosov mapping class defines an associated veering triangulation of a punctured mapping torus. We show that generically, is not geometric. Here, the word "generic" can be taken either with respect to random walks in mapping class groups or with respect to counting geodesics in moduli space. Tools in the proof include Teichm\"uller theory, the Ending Lamination Theorem, study of the Thurston norm, and rigorous computation.
Cite
@article{arxiv.1808.05586,
title = {Random veering triangulations are not geometric},
author = {David Futer and Samuel J. Taylor and William Worden},
journal= {arXiv preprint arXiv:1808.05586},
year = {2020}
}
Comments
38 pages, 9 figures. To appear in Groups, Geometry, and Dynamics