{ "id": "1412.2731", "version": "v1", "published": "2014-12-08T20:39:59.000Z", "updated": "2014-12-08T20:39:59.000Z", "title": "On the AJ conjecture for cable knots", "authors": [ "Anh T. Tran" ], "categories": [ "math.GT", "math.QA" ], "abstract": "We study the AJ conjecture for $(r,2)$-cables of a knot, where $r$ is an odd integer. Using skein theory, we show that the AJ conjecture holds true for most $(r,2)$-cables of some classes of two-bridge knots and pretzel knots.", "revisions": [ { "version": "v1", "updated": "2014-12-08T20:39:59.000Z" } ], "analyses": { "subjects": [ "57N10", "57M25" ], "keywords": [ "cable knots", "aj conjecture holds true", "two-bridge knots", "skein theory", "pretzel knots" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1412.2731T" } } }