{ "id": "0807.4780", "version": "v1", "published": "2008-07-30T04:10:03.000Z", "updated": "2008-07-30T04:10:03.000Z", "title": "On the colored Jones polynomials of certain cable of the torus knots", "authors": [ "Qihou Liu" ], "comment": "17 pages", "categories": [ "math.GT" ], "abstract": "In this paper, we study the asymptotic behavior of the colored Jones polynomials evaluated at roots of unity for a special class of knots. We show that certain limit is zero as predicted by the volume conjecture.", "revisions": [ { "version": "v1", "updated": "2008-07-30T04:10:03.000Z" } ], "analyses": { "subjects": [ "57M27" ], "keywords": [ "torus knots", "asymptotic behavior", "volume conjecture", "special class", "colored jones polynomials" ], "note": { "typesetting": "TeX", "pages": 17, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0807.4780L" } } }