{ "id": "2202.04831", "version": "v1", "published": "2022-02-10T04:42:00.000Z", "updated": "2022-02-10T04:42:00.000Z", "title": "The coefficients of the Jones polynomial", "authors": [ "Vajira Manathunga" ], "comment": "9 pages", "categories": [ "math.GT" ], "abstract": "It has been known that, the coefficients of the series expansion of the Jones polynomial evaluated at $e^x$ are rational valued Vassiliev invariants . In this article, we calculate minimal multiplying factor, {\\lambda}, needed for these rational valued invariants to become integer valued Vassiliev invariants. By doing that we obtain a set of integer-valued Vassiliev invariants.", "revisions": [ { "version": "v1", "updated": "2022-02-10T04:42:00.000Z" } ], "analyses": { "subjects": [ "57M25", "57M27" ], "keywords": [ "jones polynomial", "coefficients", "rational valued vassiliev invariants", "integer valued vassiliev invariants", "minimal multiplying factor" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable" } } }