{ "id": "math/0503080", "version": "v5", "published": "2005-03-04T15:56:23.000Z", "updated": "2005-11-25T12:49:20.000Z", "title": "A Jones polynomial for braid-like isotopies of oriented links and its categorification", "authors": [ "Benjamin Audoux", "Thomas Fiedler" ], "comment": "Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-61.abs.html", "journal": "Algebr. Geom. Topol. 5 (2005) 1535-1553", "categories": [ "math.GT", "math.QA" ], "abstract": "A braid-like isotopy for links in 3-space is an isotopy which uses only those Reidemeister moves which occur in isotopies of braids. We define a refined Jones polynomial and its corresponding Khovanov homology which are, in general, only invariant under braid-like isotopies.", "revisions": [ { "version": "v5", "updated": "2005-11-25T12:49:20.000Z" } ], "analyses": { "subjects": [ "57M27", "20F36" ], "keywords": [ "braid-like isotopy", "oriented links", "categorification", "reidemeister moves", "refined jones polynomial" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math......3080A" } } }