{
  "id": "math/0512267",
  "version": "v6",
  "published": "2005-12-13T13:35:41.000Z",
  "updated": "2007-07-03T11:26:04.000Z",
  "title": "A relationship between the non-acyclic Reidemeister torsion and a zero of the acyclic Reidemeister torsion",
  "authors": [
    "Yoshikazu Yamaguchi"
  ],
  "comment": "to appear in Ann. Institut Fourier",
  "categories": [
    "math.GT"
  ],
  "abstract": "We show a relationship between the non-acyclic Reidemeister torsion and a zero of the acyclic Reidemeister torsion for a lambda-regular SU(2) or SL(2, C)-representation of a knot group. Then we give a method to calculate the non-acyclic Reidemeister torsion of a knot exterior. We calculate a new example and investigate the behavior of the non-acyclic Reidemeister torsion associated to a 2-bridge knot and SU(2)-representations of its knot group.",
  "revisions": [
    {
      "version": "v6",
      "updated": "2007-07-03T11:26:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M05",
      "57M27",
      "57Q10"
    ],
    "keywords": [
      "relationship",
      "knot group",
      "knot exterior",
      "non-acyclic reidemeister torsion",
      "lambda-regular su"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....12267Y"
    }
  }
}