Veech groups, irrational billiards and stable abelian differentials
Dynamical Systems
2009-06-29 v2 Differential Geometry
Abstract
We describe Veech groups of flat surfaces arising from irrational angled polygonal billiards or irreducible stable abelian differentials. For irrational polygonal billiards, we prove that these groups are non-discrete subgroups of SO(2,R) and we calculate their rank.
Keywords
Cite
@article{arxiv.0905.1591,
title = {Veech groups, irrational billiards and stable abelian differentials},
author = {Ferran Valdez},
journal= {arXiv preprint arXiv:0905.1591},
year = {2009}
}
Comments
8 pages, 2 figures