{ "id": "0810.3146", "version": "v1", "published": "2008-10-17T12:48:55.000Z", "updated": "2008-10-17T12:48:55.000Z", "title": "Polyak-Viro formulas for coefficients of the Conway polynomial", "authors": [ "Sergei Chmutov", "Michael Cap Khoury", "Alfred Rossi" ], "comment": "9 pages, many figures", "categories": [ "math.GT", "math.CO" ], "abstract": "We describe the Polyak-Viro arrow diagram formulas for the coefficients of the Conway polynomial. As a consequence, we obtain the Conway polynomial as a state sum over some subsets of the crossings of the knot diagram. It turns out to be a simplification of a special case of Jaeger's state model for the HOMFLY polynomial.", "revisions": [ { "version": "v1", "updated": "2008-10-17T12:48:55.000Z" } ], "analyses": { "subjects": [ "57M25", "57M27" ], "keywords": [ "conway polynomial", "polyak-viro formulas", "coefficients", "polyak-viro arrow diagram formulas", "jaegers state model" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0810.3146C" } } }