Finiteness of Teichm\"uller curves in non-arithmetic rank 1 orbit closures
Dynamical Systems
2016-08-09 v2
Abstract
We show that in any non-arithmetic rank 1 orbit closure of translation surfaces, there are only finitely many Teichm\"uller curves. We also show that in any non-arithmetic rank 1 orbit closure, any completely parabolic surface is Veech.
Keywords
Cite
@article{arxiv.1504.03742,
title = {Finiteness of Teichm\"uller curves in non-arithmetic rank 1 orbit closures},
author = {Erwan Lanneau and Duc-Manh Nguyen and Alex Wright},
journal= {arXiv preprint arXiv:1504.03742},
year = {2016}
}
Comments
To appear in American Journal of Mathematics