{ "id": "1007.0695", "version": "v1", "published": "2010-07-05T14:59:06.000Z", "updated": "2010-07-05T14:59:06.000Z", "title": "Dehn surgeries on the figure eight knot: an upper bound for the complexity", "authors": [ "Evgeny Fominykh" ], "comment": "11 pages, 9 figures", "journal": "Siberian Mathematical Journal, Vol. 52, No. 3, pp. 537-543, 2011", "categories": [ "math.GT" ], "abstract": "We establish an upper bound $\\omega(p/q)$ on the complexity of manifolds obtained by $p/q$-surgeries on the figure eight knot. It turns out that if $\\omega(p/q)\\leqslant 12$, the bound is sharp.", "revisions": [ { "version": "v1", "updated": "2010-07-05T14:59:06.000Z" } ], "analyses": { "subjects": [ "57M99", "57M25" ], "keywords": [ "upper bound", "dehn surgeries", "complexity" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1007.0695F" } } }