{ "id": "math/0509054", "version": "v1", "published": "2005-09-02T19:10:45.000Z", "updated": "2005-09-02T19:10:45.000Z", "title": "Surgery descriptions and volumes of Berge knots I: Large volume Berge knots", "authors": [ "Kenneth L. Baker" ], "comment": "18 pages, 19 figures", "categories": [ "math.GT" ], "abstract": "By obtaining surgery descriptions of knots which lie on the genus one fiber of the trefoil or figure eight knot, we show that these include hyperbolic knots with arbitrarily large volume. These knots admit lens space surgeries and form two families of Berge knots. By way of tangle descriptions we also obtain surgery descriptions for these knots on minimally twisted chain links.", "revisions": [ { "version": "v1", "updated": "2005-09-02T19:10:45.000Z" } ], "analyses": { "subjects": [ "57M50", "57M25" ], "keywords": [ "large volume berge knots", "surgery descriptions", "knots admit lens space surgeries", "arbitrarily large volume", "minimally twisted chain links" ], "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math......9054B" } } }