{ "id": "1904.01217", "version": "v1", "published": "2019-04-02T05:07:19.000Z", "updated": "2019-04-02T05:07:19.000Z", "title": "Kashaev invariants of twice-iterated torus knots", "authors": [ "Hitoshi Murakami", "Anh T. Tran" ], "comment": "18 pages, 4 figures", "categories": [ "math.GT" ], "abstract": "We calculate the asymptotic behavior of the Kashaev invariant of a twice-itarated torus knot and obtain topological interpretation of the formula in terms of the Chern--Simons invariant and the twisted Reidemeister torsion.", "revisions": [ { "version": "v1", "updated": "2019-04-02T05:07:19.000Z" } ], "analyses": { "subjects": [ "57M27", "57M25", "57M50" ], "keywords": [ "twice-iterated torus knots", "kashaev invariant", "twice-itarated torus knot", "asymptotic behavior", "chern-simons invariant" ], "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable" } } }