{
  "annotation_id": "3a07fe77-b582-4df9-89c4-a93e17f5ff9b",
  "date_created": "2026-03-02T18:01:28.599000Z",
  "date_modified": "2026-03-02T18:01:28.599000Z",
  "file_hash": "0dbbc97420b4bd1e97785f4c2df3e4ce638f2c0d5b7b0a39b62876ca22ef6776",
  "private": false,
  "record": {
    "abstract": "X.-S. Lin and Z. Wang recently made a conjecture concerning the integrality\nof the Taylor coefficients of the averaged Jones polynomial of algebraically\nsplit links. This question is related to a conjectural integrality result for\nthe Ohtsuki invariants, which are rational topological invariants of homology\n3-spheres derived from the quantum invariants of Witten and Reshetikhin-Turaev.\n  This paper presents counterexamples to the conjecture of Lin and Wang and\ngives a proof of a corrected statement of the conjecture. The statement is\ndivided into two parts. The first part applies to geometrically split links and\ngives an integrality result which is stronger than conjectured, while the\nsecond is valid for any algebraically split link and gives a somewhat weaker\nstatement. Both propositions are seen to be sharp by the examples given.",
    "arxiv_id": "q-alg/9610029",
    "authors": [
      "H. U. Boden"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1142/S0218216597000200",
    "journal_ref": "J. Knot Theory Ramif. 8 (1996) 100-104",
    "title": "Integrality of the Averaged Jones Polynomial of Algebraically Split   Links",
    "url": "https://arxiv.org/abs/q-alg/9610029"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7453c733-76ed-42b0-8e11-6df0344a679f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}