{
  "id": "1107.3283",
  "version": "v3",
  "published": "2011-07-17T08:13:57.000Z",
  "updated": "2012-01-16T06:21:04.000Z",
  "title": "The twisted Alexander polynomial for finite abelian covers over three manifolds with boundary",
  "authors": [
    "Jérôme Dubois",
    "Yoshikazu Yamaguchi"
  ],
  "comment": "10 pages, v3: The organization was changed. This paper focuses on proving the formula of the twisted Alexander polynomial for finite abelian covering spaces, typos corrected and the main statement and proof were improved, to appear in Algebraic & Geometric Topology",
  "categories": [
    "math.GT"
  ],
  "abstract": "We provide the twisted Alexander polynomials of finite abelian covers over three-dimensional manifolds whose boundary is a finite union of tori. This is a generalization of a well-known formula for the usual Alexander polynomial of knots in finite cyclic branched covers over the three-dimensional sphere.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-01-16T06:21:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M27"
    ],
    "keywords": [
      "finite abelian covers",
      "twisted alexander polynomial",
      "finite cyclic branched covers",
      "usual alexander polynomial",
      "finite union"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1107.3283D"
    }
  }
}