Coding Teichm\"uller flow using veering triangulations
Dynamical Systems
2019-09-04 v1
Abstract
We develop the theory of veering triangulations on oriented surfaces adapted to moduli spaces of half-translation surfaces. We use veering triangulations to give a coding of the Teichm\"uller flow on connected components of strata of quadratic differentials. We prove that this coding, given by a countable shift, has an approximate product structure and a roof function with exponential tails. This makes it conducive to the study of the dynamics of Teichm\"uller flow.
Cite
@article{arxiv.1909.00890,
title = {Coding Teichm\"uller flow using veering triangulations},
author = {Mark Bell and Vincent Delecroix and Vaibhav Gadre and Rodolfo Gutiérrez-Romo and Saul Schleimer},
journal= {arXiv preprint arXiv:1909.00890},
year = {2019}
}
Comments
35 pages, 8 figures