{ "id": "1309.5052", "version": "v4", "published": "2013-09-19T17:11:01.000Z", "updated": "2014-06-16T14:42:19.000Z", "title": "On the HOMFLY polynomial of 4-plat presentations of knots", "authors": [ "Bo-hyun Kwon" ], "categories": [ "math.GT" ], "abstract": "In this paper, I give a method to calculate the HOMFLY polynomials of knots by using a representation of the braid group B4 into a group of 3 ? 3 matrices. Also, I will give examples of a 2-bridge knot and a 3-bridge knot that have the same Jone polynomial, but di?erent HOMFLY polynomials.", "revisions": [ { "version": "v4", "updated": "2014-06-16T14:42:19.000Z" } ], "analyses": { "subjects": [ "57M27" ], "keywords": [ "presentations", "braid group b4", "jone polynomial", "erent homfly polynomials", "representation" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1309.5052K" } } }