Veech groups of Loch Ness monsters
Differential Geometry
2017-02-08 v1 Group Theory
Abstract
We classify Veech groups of tame non-compact flat surfaces. In particular we prove that all countable subgroups of avoiding the set of mappings of norm less than 1 appear as Veech groups of tame non-compact flat surfaces which are Loch Ness monsters. Conversely, a Veech group of any tame flat surface is either countable, or one of three specific types.
Cite
@article{arxiv.0906.5268,
title = {Veech groups of Loch Ness monsters},
author = {Piotr Przytycki and Gabriela Schmithuesen and Ferran Valdez},
journal= {arXiv preprint arXiv:0906.5268},
year = {2017}
}
Comments
15 pages