{ "id": "math/0702749", "version": "v3", "published": "2007-02-25T16:14:53.000Z", "updated": "2008-07-18T19:33:01.000Z", "title": "Actions of certain arithmetic groups on Gromov hyperbolic spaces", "authors": [ "Jason Fox Manning" ], "comment": "v1: 23 pages, 4 figures. v2: 24 pages, 4 figures. Fixed a bad typo in Claim 3.3 and made some other small changes. v3: A few small clarifications. To appear in AGT", "categories": [ "math.GR", "math.GT" ], "abstract": "We study the variety of actions of a fixed (Chevalley) group on arbitrary geodesic, Gromov hyperbolic spaces. In high rank we obtain a complete classification. In rank one, we obtain some partial results and give a conjectural picture.", "revisions": [ { "version": "v3", "updated": "2008-07-18T19:33:01.000Z" } ], "analyses": { "keywords": [ "gromov hyperbolic spaces", "arithmetic groups", "partial results", "complete classification", "arbitrary geodesic" ], "note": { "typesetting": "TeX", "pages": 23, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007math......2749F" } } }