{
  "annotation_id": "b8a0c327-1b05-4d6f-9f60-73245e31d632",
  "date_created": "2026-03-02T18:01:28.660000Z",
  "date_modified": "2026-03-02T18:01:28.660000Z",
  "file_hash": "392ce356d9b40c9d3cacc22710e87370ff6785f4daa49f1f035ba499979b17be",
  "private": false,
  "record": {
    "abstract": "The general structure of the perturbative expansion of the vacuum expectation\nvalue of a Wilson line operator in Chern-Simons gauge field theory is analyzed.\nThe expansion is organized according to the independent group structures that\nappear at each order. It is shown that the analysis is greatly simplified if\nthe group factors are chosen in a certain way that we call canonical. This\nenables us to show that the logarithm of a polinomial knot invariant can be\nwritten in terms of primitive Vassiliev invariants only.",
    "arxiv_id": "q-alg/9604010",
    "authors": [
      "M. Alvarez",
      "J. M. F. Labastida"
    ],
    "categories": [
      "q-alg",
      "hep-th",
      "math.QA"
    ],
    "doi": "10.1007/s002200050222",
    "journal_ref": "Commun.Math.Phys.189:641-654,1997",
    "title": "Primitive Vassiliev Invariants and Factorization in Chern-Simons   Perturbation Theory",
    "url": "https://arxiv.org/abs/q-alg/9604010"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d483a644-14a9-43cb-9f38-c2e236aa22f9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}