{
  "id": "math/9802032",
  "version": "v2",
  "published": "1998-02-06T03:39:54.000Z",
  "updated": "1998-05-25T22:32:10.000Z",
  "title": "On Perturbative PSU(n) Invariants of Rational Homology 3-Spheres",
  "authors": [
    "Thang T. Q. Le"
  ],
  "comment": "36 Pages. Minor mistakes corrected. Main results slightly improved. Some parts substantially revised",
  "categories": [
    "math.GT",
    "math.QA"
  ],
  "abstract": "We construct power series invariants of rational homology 3-spheres from quantum PSU(n)-invariants. The power series can be regarded as perturbative invariants corresponding to the contribution of the trivial connection in the hypothetical Witten's integral. This generalizes a result of Ohtsuki (the $n=2$ case) which led him to the definition of finite type invariants of 3-manifolds. The proof utilizes some symmetry properties of quantum invariants (of links) derived from the theory of affine Lie algebras and the theory of the Kontsevich integral.",
  "revisions": [
    {
      "version": "v2",
      "updated": "1998-05-25T22:32:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25"
    ],
    "keywords": [
      "rational homology",
      "perturbative psu",
      "construct power series invariants",
      "affine lie algebras",
      "finite type invariants"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math......2032L"
    }
  }
}