{
  "annotation_id": "2e460e18-8eb7-4e3f-975f-7c9d660158fb",
  "date_created": "2026-03-02T18:01:24.454000Z",
  "date_modified": "2026-03-02T18:01:24.454000Z",
  "file_hash": "f977ad2541b9a54c529fa8adb575303aea0affaadb3f5270d92763166ae67b5e",
  "private": false,
  "record": {
    "abstract": "We establish a relation between the coefficients of asymptotic expansion of\ntrivial connection contribution to Witten\u0027s invariant of rational homology\nspheres and the invariants that T.~Ohtsuki extracted from Witten\u0027s invariant at\nprime values of $K$. We also rederive the properties of prime $K$ invariants\ndiscovered by H.~Murakami and T.~Ohtsuki. We do this by using the bounds on\nTaylor series expansion of the Jones polynomial of algebraically split links,\nstudied in our previous paper. These bounds are enough to prove that Ohtsuki\u0027s\ninvariants are of finite type. The relation between Ohtsuki\u0027s invariants and\ntrivial connection contribution is verified explicitly for lens spaces and\nSeifert manifolds.",
    "arxiv_id": "q-alg/9504015",
    "authors": [
      "L. Rozansky"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1007/BF02099715",
    "title": "Witten\u0027s Invariants of Rational Homology Spheres at Prime Values of $K$   and Trivial Connection Contribution",
    "url": "https://arxiv.org/abs/q-alg/9504015"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0c4857d5-e146-48b3-80fb-e9634152982b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}