Finiteness conditions on translation surfaces

Details Finiteness conditions on translation surfaces Finiteness conditions on translation surfaces

2012-03-08

arxiv.org/abs/1203.1903v1

Mathematics

Geometric Topology

To appear in Contemporary Mathematics. Incorporates referee's suggestions. 9 pages with references, 2 figures

Scientific paper

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.

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