{
  "id": "1506.01774",
  "version": "v1",
  "published": "2015-06-05T04:32:04.000Z",
  "updated": "2015-06-05T04:32:04.000Z",
  "title": "A polynomial defined by the SL(2;C)-Reidemeister torsion for a homology 3-sphere obtained by a Dehn surgery along a (2p,q)-torus knot",
  "authors": [
    "Teruaki Kitano"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "Let K be a (2p,q)-torus knot and M_n is a 3-manifold obtained by 1/n-Dehn surgery along K. We consider a polynomial whose zeros are the inverses of the Reideimeister torsion of M_n for SL(2;C)-irreducible representations. Johnson gave a formula for the case of the (2,3)-torus knot under some modification and normalization. We generalize this formula by using Tchebychev polynomials.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-06-05T04:32:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27"
    ],
    "keywords": [
      "dehn surgery",
      "johnson gave",
      "tchebychev polynomials",
      "reideimeister torsion",
      "representations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150601774K"
    }
  }
}