{ "id": "1807.08977", "version": "v1", "published": "2018-07-24T09:12:40.000Z", "updated": "2018-07-24T09:12:40.000Z", "title": "On the knot quandle of a fibered knot, finiteness and equivalence of knot quandles", "authors": [ "Ayumu Inoue" ], "comment": "7 pages, 3 figures", "categories": [ "math.GT" ], "abstract": "We show that the structure of a fibered knot, as a fiber bundle, is reflected in its knot quandle. As an application, we discuss finiteness and equivalence of knot quandles of concrete fibered 2-knots.", "revisions": [ { "version": "v1", "updated": "2018-07-24T09:12:40.000Z" } ], "analyses": { "subjects": [ "57Q45", "57M25", "57M27" ], "keywords": [ "knot quandle", "fibered knot", "finiteness" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable" } } }