{
  "annotation_id": "c694d335-5fc7-4e52-9c2e-17df12906e97",
  "date_created": "2026-03-02T18:01:25.097000Z",
  "date_modified": "2026-03-02T18:01:25.097000Z",
  "file_hash": "334944c5adf1bee209ba587488b22f9f9a8448cc0d46e1909b45a48628877782",
  "private": false,
  "record": {
    "abstract": "We get a detailed account of Vassiliev type invariants starting with Chen\u0027s\ntheory of iterated integrals and Malcev\u0027s completion of discrete groups. The\ncanonical injection of the group of pure braids into its completion is\nidentified with the universal Kontsevich-Vassiliev invariant.Further we discuss\nthe extension of this morphism to the whole braid group and the multiplication\nlaw for the last one.",
    "arxiv_id": "q-alg/9510008",
    "authors": [
      "Louis Funar"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Vassiliev invariants I: Braid groups and rational homotopy theory",
    "url": "https://arxiv.org/abs/q-alg/9510008"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bcbb34bd-0df0-4ac9-8b96-0e70032b3747",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}