{ "id": "0805.4418", "version": "v1", "published": "2008-05-28T21:21:48.000Z", "updated": "2008-05-28T21:21:48.000Z", "title": "Khovanov homology of the 2-cable detects the unknot", "authors": [ "Matthew Hedden" ], "comment": "4 pages, no figures", "categories": [ "math.GT", "math.QA" ], "abstract": "We prove that the Khovanov homology of the 2-cable detects the unknot. A corollary is that Khovanov's categorification of the 2-colored Jones polynomial detects the unknot.", "revisions": [ { "version": "v1", "updated": "2008-05-28T21:21:48.000Z" } ], "analyses": { "subjects": [ "57M27", "57M25" ], "keywords": [ "khovanov homology", "jones polynomial detects", "khovanovs categorification" ], "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0805.4418H" } } }