{ "id": "1209.4244", "version": "v1", "published": "2012-09-19T14:01:00.000Z", "updated": "2012-09-19T14:01:00.000Z", "title": "Metabelian SL(n,C) representations of knot groups IV: twisted Alexander polynomials", "authors": [ "Hans U. Boden", "Stefan Friedl" ], "comment": "21 pages, 1 figure", "categories": [ "math.GT" ], "abstract": "In this paper we will study properties of twisted Alexander polynomials of knots corresponding to metabelian representations. In particular we answer a question of Wada about the twisted Alexander polynomial associated to the tensor product of two representations, and we settle several conjectures of Hirasawa and Murasugi.", "revisions": [ { "version": "v1", "updated": "2012-09-19T14:01:00.000Z" } ], "analyses": { "subjects": [ "57M25", "20C15" ], "keywords": [ "knot groups", "metabelian sl", "metabelian representations", "study properties", "tensor product" ], "note": { "typesetting": "TeX", "pages": 21, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1209.4244B" } } }