{
  "annotation_id": "fa8b4fab-4096-4945-bb0f-ed445dc952c4",
  "date_created": "2026-03-02T18:01:24.715000Z",
  "date_modified": "2026-03-02T18:01:24.715000Z",
  "file_hash": "d8026f89da3e59a35b6b0a31cc55d72ae16f92860bbf9026af57c194f8f61a6d",
  "private": false,
  "record": {
    "abstract": "We derive an analog of Melvin-Morton bound on the power series expansion of\nJones polynomial of algebraically split links and boundary links. This allows\nus to produce a simple formula for the trivial connection contribution to\nWitten\u0027s invariant of rational homology spheres. We show that the n-th term in\nthe 1/K expansion of the logarithm of this contribution is a finite type\ninvariant of Ohtsuki order 3n and of at most Garoufalidis order n. This result\nis a manifold counterpart of the statement that n-th derivative of the Jones\npolynomial is Vassiliev\u0027s invariant of order n.",
    "arxiv_id": "q-alg/9503011",
    "authors": [
      "L. Rozansky"
    ],
    "categories": [
      "q-alg",
      "hep-th",
      "math.QA"
    ],
    "title": "The Trivial Connection Contribution to Witten\u0027s Invariant and Finite   Type Invariants of Rational Homology Spheres",
    "url": "https://arxiv.org/abs/q-alg/9503011"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f56d844d-7165-46eb-978c-e2bd86b4e83c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}