{
  "id": "0905.0591",
  "version": "v3",
  "published": "2009-05-05T12:30:31.000Z",
  "updated": "2010-02-05T09:34:23.000Z",
  "title": "A survey of twisted Alexander polynomials",
  "authors": [
    "Stefan Friedl",
    "Stefano Vidussi"
  ],
  "comment": "42 pages, final version of the survey paper to be published by the proceedings of the conference `The Mathematics of Knots: Theory and Application' in Heidelberg in December 2008. In the final version we updated references and fixed a few typos",
  "categories": [
    "math.GT"
  ],
  "abstract": "We give a short introduction to the theory of twisted Alexander polynomials of a 3--manifold associated to a representation of its fundamental group. We summarize their formal properties and we explain their relationship to twisted Reidemeister torsion. We then give a survey of the many applications of twisted invariants to the study of topological problems. We conclude with a short summary of the theory of higher order Alexander polynomials.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-02-05T09:34:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27",
      "57M25"
    ],
    "keywords": [
      "twisted alexander polynomials",
      "higher order alexander polynomials",
      "fundamental group",
      "formal properties",
      "twisted reidemeister torsion"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0905.0591F"
    }
  }
}