{ "id": "1411.1536", "version": "v1", "published": "2014-11-06T09:14:01.000Z", "updated": "2014-11-06T09:14:01.000Z", "title": "Note on the canonical genus of a knot", "authors": [ "Martina Aaltonen" ], "categories": [ "math.GT" ], "abstract": "We show that every canonical Seifert surface is (up to isotopy) given by a knot diagram in which the (open) Seifert disks are pairwise disjoint.", "revisions": [ { "version": "v1", "updated": "2014-11-06T09:14:01.000Z" } ], "analyses": { "subjects": [ "57M25" ], "keywords": [ "canonical genus", "canonical seifert surface", "knot diagram", "seifert disks" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1411.1536A" } } }