{ "id": "1203.1903", "version": "v1", "published": "2012-03-08T20:10:16.000Z", "updated": "2012-03-08T20:10:16.000Z", "title": "Finiteness conditions on translation surfaces", "authors": [ "Joshua P. Bowman" ], "comment": "To appear in Contemporary Mathematics. Incorporates referee's suggestions. 9 pages with references, 2 figures", "categories": [ "math.GT", "math.MG" ], "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.", "revisions": [ { "version": "v1", "updated": "2012-03-08T20:10:16.000Z" } ], "analyses": { "subjects": [ "30F30", "57M50", "32G15", "14K20" ], "keywords": [ "translation surfaces", "finiteness conditions", "analytic notions", "veech group" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1203.1903B" } } }