{
  "id": "0710.3511",
  "version": "v3",
  "published": "2007-10-18T13:47:27.000Z",
  "updated": "2008-10-16T18:58:54.000Z",
  "title": "Deformations of metabelian representations of knot groups into $SL(3,\\mathbb{C})$",
  "authors": [
    "Leila Ben Abdelghani",
    "Michael Heusener",
    "Hajer Jebali"
  ],
  "comment": "Accepted in Journal of Knot Theory and Its Ramifications",
  "categories": [
    "math.GT"
  ],
  "abstract": "Let K be a knot in $S^3$ and $X$ its complement. We study deformations of reducible metabelian representations of the knot group $\\pi_1(X)$ into $SL(3,\\mathbb{C})$ which are associated to a double root of the Alexander polynomial. We prove that these reducible metabelian representations are smooth points of the representation variety and that they have irreducible non metabelian deformations.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-10-16T18:58:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M27",
      "20C15"
    ],
    "keywords": [
      "knot group",
      "reducible metabelian representations",
      "irreducible non metabelian deformations",
      "representation variety",
      "study deformations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0710.3511B"
    }
  }
}