A criterion for being a Teichm\"uller curve
Dynamical Systems
2013-01-08 v2
Abstract
Teichm\"uller curves play an important role in the study of dynamics in polygonal billiards. In this article, we provide a criterion similar to the original M\"oller's criterion, to detect whether a complex curve, embedded in the moduli space of Riemann surfaces and endowed with a line subbundle of the Hodge bundle, is a Teichm\"uller curve, and give a dynamical proof of this criterion.
Keywords
Cite
@article{arxiv.1208.0136,
title = {A criterion for being a Teichm\"uller curve},
author = {Elise Goujard},
journal= {arXiv preprint arXiv:1208.0136},
year = {2013}
}
Comments
8 pages, no figures