Veech groups without parabolic elements
几何拓扑
2007-05-23 v2 动力系统
摘要
We prove that a ``bouillabaisse'' surface (translation surface which has two transverse parabolic elements) has totally real trace field. As a corollary, non trivial Veech groups which have no parabolic elements do exist. The proof follows Veech's viewpoint on Thurston's construction of pseudo-Anosov diffeomorphisms.
引用
@article{arxiv.math/0503047,
title = {Veech groups without parabolic elements},
author = {Pascal Hubert and Erwan Lanneau},
journal= {arXiv preprint arXiv:math/0503047},
year = {2007}
}
备注
7 pages, Corrected typos, to appear in Duke Mathematical Journal