{
  "id": "math/0307193",
  "version": "v2",
  "published": "2003-07-14T14:46:00.000Z",
  "updated": "2004-03-04T14:38:32.000Z",
  "title": "Volumes for twist link cone-manifolds",
  "authors": [
    "Dmitriy Derevnin",
    "Alexander Mednykh",
    "Michele Mulazzani"
  ],
  "comment": "23 pages, 1 figure. Revised version with minor changes. Accepted for publication in the Boletin de la Sociedad Matematica Mexicana, special issue in honor of Francisco \"FICO\" Gonzales Acuna",
  "categories": [
    "math.GT"
  ],
  "abstract": "Recently, the explicit volume formulae for hyperbolic cone-manifolds, whose underlying space is the 3-sphere and the singular set is the knot $4_1$ and the links $5^2_1$ and $6^2_2$, have been obtained by the second named author and his collaborators. In this paper we explicitly find the hyperbolic volume for cone-manifolds with the link $6^2_3$ as singular set. Trigonometric identities (Tangent, Sine and Cosine Rules) between complex lengths of singular components and cone angles are obtained for an infinite family of two-bridge links containing $5^2_1$ and $6^2_3$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-03-04T14:38:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50",
      "57M25"
    ],
    "keywords": [
      "twist link cone-manifolds",
      "singular set",
      "explicit volume formulae",
      "hyperbolic volume",
      "hyperbolic cone-manifolds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......7193D"
    }
  }
}