Totally non congruence Veech groups
Geometric Topology
2018-02-15 v1
Abstract
Veech groups are discrete subgroups of SL(2, R) which play an important role in the theory of translation surfaces. For a special class of translation surfaces called origamis or square-tiled surfaces their Veech groups are subgroups of finite index of SL(2, Z). We show that each stratum of the space of translation surfaces contains infinitely many origamis whose Veech group is a totally non congruence group, i.e. it surjects to SL(2, Z/nZ) for any n.
Keywords
Cite
@article{arxiv.1802.05024,
title = {Totally non congruence Veech groups},
author = {Jan-Christoph Schlage-Puchta and Gabriela Weitze-Schmithuesen},
journal= {arXiv preprint arXiv:1802.05024},
year = {2018}
}
Comments
16 pages, 6 figures