{
  "id": "math/0111057",
  "version": "v1",
  "published": "2001-11-06T11:57:59.000Z",
  "updated": "2001-11-06T11:57:59.000Z",
  "title": "Reshetikhin-Turaev invariants of Seifert 3-manifolds and a rational surgery formula",
  "authors": [
    "Soren Kold Hansen"
  ],
  "comment": "Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol1/agt-1-32.abs.html",
  "journal": "Algebr. Geom. Topol. 1 (2001) 627-686",
  "categories": [
    "math.GT",
    "math.QA"
  ],
  "abstract": "We calculate the RT-invariants of all oriented Seifert manifolds directly from surgery presentations. We work in the general framework of an arbitrary modular category as in [V. G. Turaev, Quantum invariants of knots and 3--manifolds, de Gruyter Stud. Math. 18, Walter de Gruyter (1994)], and the invariants are expressed in terms of the S- and T-matrices of the modular category. In another direction we derive a rational surgery formula, which states how the RT-invariants behave under rational surgery along framed links in arbitrary closed oriented 3-manifolds with embedded colored ribbon graphs. The surgery formula is used to give another derivation of the RT-invariants of Seifert manifolds with orientable base.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-11-06T11:57:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27",
      "17B37",
      "18D10",
      "57M25"
    ],
    "keywords": [
      "rational surgery formula",
      "reshetikhin-turaev invariants",
      "seifert manifolds",
      "arbitrary modular category",
      "embedded colored ribbon graphs"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}