{
  "annotation_id": "abea62e5-79c4-4e58-8612-b2295f2799d8",
  "date_created": "2026-03-02T18:01:28.642000Z",
  "date_modified": "2026-03-02T18:01:28.642000Z",
  "file_hash": "0543ff6dfd5023ec3fc3629ce31332e18c13a683985297c1d2d90b6a8eabcf18",
  "private": false,
  "record": {
    "abstract": "We construct an invariant of 3-manifolds using a modification of the\nKontsevich integral and Kirby\u0027s calculus. This invariant, as expected in\nperturbative Chern-Simon theory, takes values in the algebra of oriented\n3-valent graphs. This algebra is a Hopf algebra, graded by half the number of\nvertices in 3-valent graphs. The degree 1 term of the invariant coincides with\nCasson-Walker-Lescop invariant. The degree $n$ term is constructed out of the\nuniversal Vassiliev invariant of links of degree less than or equal to $(l+1)n$\nwhere $l$ is the number of link components.",
    "arxiv_id": "q-alg/9512002",
    "authors": [
      "Thang T. Q. Le",
      "Jun Murakami",
      "Tomotada Ohtsuki"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "On a Universal Invariant of 3-Manifolds",
    "url": "https://arxiv.org/abs/q-alg/9512002"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3c274c30-21d1-4c50-a5e4-98ce6c74536c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}