{
  "annotation_id": "50a80b15-f28f-49fa-98e6-178fda26ee20",
  "date_created": "2026-03-02T18:01:24.452000Z",
  "date_modified": "2026-03-02T18:01:24.452000Z",
  "file_hash": "2711272d7e2dfc280a81fe53e288ea1c76ef9cb925cf8ccaf6dabb6f3fa17c90",
  "private": false,
  "record": {
    "abstract": "We prove that the knot invariant induced by a $\\Bbb Z$-homology 3-sphere\ninvariant of order $\\leq k$ in Ohtsuki\u0027s sense, where $k\\geq 4$, is of order\n$\\leq k-2$. The method developed in our computation shows that there is no\n$\\Bbb Z$-homology 3-sphere invariant of order 5. This result agrees with a\nconjecture of Rozansky based on physical predictions about the asymptotic\nbehavior of Witten\u0027s Chern-Simons path integral.",
    "arxiv_id": "q-alg/9506001",
    "authors": [
      "Matt Greenwood",
      "Xiao-Song Lin"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "On Vassiliev knot invariants induced from finite type 3-manifold   invariants",
    "url": "https://arxiv.org/abs/q-alg/9506001"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "74c0aa84-10d0-4bcd-ace0-ab8066aca007",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}