{
  "id": "math/0512277",
  "version": "v5",
  "published": "2005-12-13T14:04:21.000Z",
  "updated": "2007-10-31T12:34:34.000Z",
  "title": "Limit values of the non-acyclic Reidemeister torsion for knots",
  "authors": [
    "Yoshikazu Yamaguchi"
  ],
  "comment": "to appear in Algebraic and Geometric Topology",
  "categories": [
    "math.GT"
  ],
  "abstract": "We consider the Reidemeister torsion associated with SL(2, C)-representations of a knot group. A bifurcation point in the SL(2, C)-character variety of a knot group is a character which is given by both an abelian SL(2, C)-representation and a non-abelian one. We show that there exist limits of the non-acyclic Reidemeister torsion at bifurcation points and the limits are expressed by using the derivation of the Alexander polynomial of the knot in this paper.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2007-10-31T12:34:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M05",
      "57M27",
      "57Q10"
    ],
    "keywords": [
      "non-acyclic reidemeister torsion",
      "limit values",
      "knot group",
      "bifurcation point",
      "alexander polynomial"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....12277Y"
    }
  }
}