{ "id": "math/0607794", "version": "v3", "published": "2006-07-31T06:38:17.000Z", "updated": "2008-09-24T14:18:20.000Z", "title": "Mutation and the colored Jones polynomial", "authors": [ "Alexander Stoimenow", "Toshifumi Tanaka" ], "comment": "19 pages, 10 figures, 2 tables, with an appendix by Daniel Matei; rev 26 Feb 07: theorem 1.2 and references put in; rev 24 Sep 08: some minor reorganization and few corrections, mainly in proof of Theorem 4.2", "categories": [ "math.GT", "math.QA" ], "abstract": "We show examples of knots with the same polynomial invariants and hyperbolic volumes, with variously coinciding 2-cable polynomials and colored Jones polynomials, which are not mutants.", "revisions": [ { "version": "v3", "updated": "2008-09-24T14:18:20.000Z" } ], "analyses": { "subjects": [ "57M25", "57N70" ], "keywords": [ "colored jones polynomial", "polynomial invariants", "hyperbolic volumes" ], "note": { "typesetting": "TeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math......7794S" } } }