{ "id": "math/0612356", "version": "v4", "published": "2006-12-13T19:17:23.000Z", "updated": "2011-04-22T15:10:58.000Z", "title": "On arc index and maximal Thurston-Bennequin number", "authors": [ "Lenhard Ng" ], "comment": "10 pages, v4: corrected typos", "journal": "J. Knot Theory Ramifications 21 (2012), no. 4, 1250031, 11 pp", "doi": "10.1142/S0218216511009820", "categories": [ "math.GT", "math.SG" ], "abstract": "We discuss the relation between arc index, maximal Thurston--Bennequin number, and Khovanov homology for knots. As a consequence, we calculate the arc index and maximal Thurston--Bennequin number for all knots with at most 11 crossings. For some of these knots, the calculation requires a consideration of cables which also allows us to compute the maximal self-linking number for all knots with at most 11 crossings.", "revisions": [ { "version": "v4", "updated": "2011-04-22T15:10:58.000Z" } ], "analyses": { "subjects": [ "57M27", "57R17", "53D12" ], "keywords": [ "maximal thurston-bennequin number", "arc index", "khovanov homology", "maximal self-linking number", "consequence" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math.....12356N" } } }