{ "id": "0709.2141", "version": "v1", "published": "2007-09-13T18:23:39.000Z", "updated": "2007-09-13T18:23:39.000Z", "title": "A skein approach to Bennequin type inequalities", "authors": [ "Lenhard Ng" ], "comment": "15 pages, many figures", "journal": "Int. Math. Res. Not. 2008, Art. ID rnn116, 18 pp.", "categories": [ "math.GT", "math.SG" ], "abstract": "We give a simple unified proof for several disparate bounds on Thurston-Bennequin number for Legendrian knots and self-linking number for transverse knots in R^3, and provide a template for possible future bounds. As an application, we give sufficient conditions for some of these bounds to be sharp.", "revisions": [ { "version": "v1", "updated": "2007-09-13T18:23:39.000Z" } ], "analyses": { "subjects": [ "57M27", "57R17", "53D12" ], "keywords": [ "bennequin type inequalities", "skein approach", "legendrian knots", "simple unified proof", "sufficient conditions" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0709.2141N" } } }