{
  "annotation_id": "97f35e39-f69c-49ed-a6e2-5e07486a3964",
  "date_created": "2026-03-02T18:01:28.094000Z",
  "date_modified": "2026-03-02T18:01:28.094000Z",
  "file_hash": "bbab42016eeebd37bc050d248746a6eb2531c48eae4c33d60689ba237c65b882",
  "private": false,
  "record": {
    "abstract": "The Turaev-Viro invariant is defined as a certain state sum calculated on an\narbitrary simple spine of a 3-manifold. We specify each term of the sum as\n0-term, 1-term or 2-term such that each sum of the terms having the same type\nis an invariant too. The sum of the 0-terms is equal to the square of the\nmodulus of the so-called SO(3)-invariant. In the paper we express the sum of\nthe 0-terms and 2-terms and the sum of the 1-terms via the Turaev-Viro\ninvariants. Tables of values of the invariants are enclosed. The values are\npresented as polynomials on primitive roots of unity with integer coefficients.",
    "arxiv_id": "q-alg/9601013",
    "authors": [
      "Maxim Sokolov"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "journal_ref": "Knot Theory, Banach Center Publ., Vol. 42, 1998, pp 395--408",
    "title": "On the absolute value of the SO(3)-invariant and other summands of the   Turaev-Viro invariant",
    "url": "https://arxiv.org/abs/q-alg/9601013"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "91e744b8-7361-470a-85c3-735a9b041cb0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}