{ "id": "math/0303273", "version": "v3", "published": "2003-03-21T14:56:23.000Z", "updated": "2003-03-28T13:17:57.000Z", "title": "Estimates for the minimal crossing number", "authors": [ "Hermann Gruber" ], "comment": "v3: minor change. Acknowledgement added. 11 pages, 6 figures", "categories": [ "math.GT" ], "abstract": "In this paper I give estimates for the minimal crossing number, leading to a short proof that the crossing number is additive for torus links. These estimates are applied to several classes of links. Finally, I prove a part of a conjecture relating the HOMFLY polynomial and the Kauffman polynomial.", "revisions": [ { "version": "v3", "updated": "2003-03-28T13:17:57.000Z" } ], "analyses": { "subjects": [ "57M25" ], "keywords": [ "minimal crossing number", "short proof", "kauffman polynomial", "torus links", "conjecture" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2003math......3273G" } } }