{
  "id": "math/0210011",
  "version": "v1",
  "published": "2002-10-01T16:52:46.000Z",
  "updated": "2002-10-01T16:52:46.000Z",
  "title": "Quantum invariants of Seifert 3-manifolds and their asymptotic expansions",
  "authors": [
    "Soren Kold Hansen",
    "Toshie Takata"
  ],
  "comment": "Published by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon4/paper6.abs.html",
  "journal": "Geom. Topol. Monogr. 4 (2002) 69-87",
  "categories": [
    "math.GT",
    "math.QA"
  ],
  "abstract": "We report on recent results of the authors concerning calculations of quantum invariants of Seifert 3-manifolds. These results include a derivation of the Reshetikhin-Turaev invariants of all oriented Seifert manifolds associated with an arbitrary complex finite dimensional simple Lie algebra, and a determination of the asymptotic expansions of these invariants for lens spaces. Our results are in agreement with the asymptotic expansion conjecture due to JE Andersen [The Witten invariant of finite order mapping tori I, to appear in J. Reine Angew. Math.] and [The asymptotic expansion conjecture, from `Problems on invariants of knots and 3--manifolds', edited by T. Ohtsuki, http://www.ms.u-tokyo.ac.jp/~tomotada/proj01/].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-10-01T16:52:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27",
      "17B37",
      "18D10",
      "41A60"
    ],
    "keywords": [
      "quantum invariants",
      "asymptotic expansion conjecture",
      "complex finite dimensional simple lie",
      "finite dimensional simple lie algebra",
      "arbitrary complex finite dimensional simple"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.....10011K"
    }
  }
}