Finiteness conditions on translation surfaces
Geometric Topology
2012-03-09 v1 Metric Geometry
Abstract
We consider various metric and analytic notions of finiteness on translation surfaces. The Veech group of a surface is discrete if the surface has finite area or is totally bounded.
Cite
@article{arxiv.1203.1903,
title = {Finiteness conditions on translation surfaces},
author = {Joshua P. Bowman},
journal= {arXiv preprint arXiv:1203.1903},
year = {2012}
}
Comments
To appear in Contemporary Mathematics. Incorporates referee's suggestions. 9 pages with references, 2 figures