{ "id": "1008.0118", "version": "v1", "published": "2010-07-31T19:40:55.000Z", "updated": "2010-07-31T19:40:55.000Z", "title": "Marden's Tameness Conjecture: history and applications", "authors": [ "Richard D. Canary" ], "comment": "30 pages, expository article based on a lecture given at the conference on \"Geometry, Topology and Analysis of Locally Symmetric Spaces and Discrete Groups'' held in Beijing in July 2007. Article was published in the proceedings of that conference", "categories": [ "math.GT" ], "abstract": "Marden's Tameness Conjecture predicts that every hyperbolic 3-manifold with finitely generated fundamental group is homeomorphic to the interior of a compact 3-manifold. It was recently established by Agol and Calegari-Gabai. We will survey the history of work on this conjecture and discuss its many applications.", "revisions": [ { "version": "v1", "updated": "2010-07-31T19:40:55.000Z" } ], "analyses": { "keywords": [ "applications", "mardens tameness conjecture predicts", "finitely generated fundamental group", "hyperbolic", "homeomorphic" ], "tags": [ "conference paper", "expository article" ], "note": { "typesetting": "TeX", "pages": 30, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1008.0118C" } } }