{
  "id": "math/0310273",
  "version": "v1",
  "published": "2003-10-17T15:45:43.000Z",
  "updated": "2003-10-17T15:45:43.000Z",
  "title": "The Quantum Content of the Normal Surfaces in a Three-Manifold",
  "authors": [
    "Charles Frohman",
    "Joanna Kania-Bartoszynska"
  ],
  "comment": "27 pages",
  "categories": [
    "math.GT"
  ],
  "abstract": "The formula for the Turaev-Viro invariant of a 3-manifold depends on a complex parameter t. When t is not a root of unity, the formula becomes an infinite sum. This paper analyzes convergence of this sum when t does not lie on the unit circle, in the presence of an efficient triangulation of the three-manifold. The terms of the sum can be indexed by surfaces lying in the three-manifold. The contribution of a surface is largest when the surface is normal and when its genus is the lowest.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-10-17T15:45:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27"
    ],
    "keywords": [
      "normal surfaces",
      "quantum content",
      "three-manifold",
      "paper analyzes convergence",
      "turaev-viro invariant"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....10273F"
    }
  }
}