{ "id": "1506.05912", "version": "v1", "published": "2015-06-19T08:41:14.000Z", "updated": "2015-06-19T08:41:14.000Z", "title": "On the Links-Gould invariant and the square of the Alexander polynomial", "authors": [ "Ben-Michael Kohli" ], "comment": "19 pages", "categories": [ "math.GT" ], "abstract": "This paper gives a connection between well chosen reductions of the Links-Gould invariants of oriented links and powers of the Alexander-Conway polynomial. We prove these formulas by showing the representations of the braid groups we derive the specialized Links-Gould polynomials from can be seen as exterior powers of copies of Burau representations.", "revisions": [ { "version": "v1", "updated": "2015-06-19T08:41:14.000Z" } ], "analyses": { "subjects": [ "57M27", "17B37" ], "keywords": [ "links-gould invariant", "alexander polynomial", "exterior powers", "specialized links-gould polynomials", "chosen reductions" ], "note": { "typesetting": "TeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150605912K" } } }