{ "id": "2212.12985", "version": "v1", "published": "2022-12-26T01:58:20.000Z", "updated": "2022-12-26T01:58:20.000Z", "title": "An explicit formula for the $A$-polynomial of the knot with Conway's notation $C(2n, 4)$", "authors": [ "Ji-Young Ham", "Joongul Lee" ], "comment": "17 pages, 2 figures, To appear in Topology and its Applications", "categories": [ "math.GT" ], "abstract": "An explicit formula for the $A$-polynomial of the knot having Conway's notation $C(2n,4)$ is computed up to repeated factors. Our polynomial contains exactly the same irreducible factors as the $A$-polynomial defined in~\\cite{CCGLS1}.", "revisions": [ { "version": "v1", "updated": "2022-12-26T01:58:20.000Z" } ], "analyses": { "subjects": [ "57M27", "57M25" ], "keywords": [ "explicit formula", "conways notation", "polynomial contains" ], "note": { "typesetting": "TeX", "pages": 17, "language": "en", "license": "arXiv", "status": "editable" } } }