{
  "id": "math/0512433",
  "version": "v2",
  "published": "2005-12-19T02:43:09.000Z",
  "updated": "2006-01-26T02:00:48.000Z",
  "title": "Strong Integrality of Quantum Invariants of 3-manifolds",
  "authors": [
    "Thang T. Q. Le"
  ],
  "comment": "19 pages. Minor typos corrected",
  "categories": [
    "math.GT",
    "math.QA"
  ],
  "abstract": "We prove that the quantum SO(3)-invariant of an arbitrary 3-manifold $M$ is always an algebraic integer, if the order of the quantum parameter is co-prime with the order of the torsion part of $H_1(M,\\BZ)$. An even stronger integrality, known as cyclotomic integrality, was established by Habiro for integral homology 3-spheres. Here we generalize Habiro's result to all rational homology 3-spheres.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-01-26T02:00:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25"
    ],
    "keywords": [
      "quantum invariants",
      "strong integrality",
      "generalize habiros result",
      "algebraic integer",
      "quantum parameter"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....12433L"
    }
  }
}