{
  "annotation_id": "5bfcc221-3355-454e-bb34-0053a3774a08",
  "date_created": "2026-03-02T18:01:28.703000Z",
  "date_modified": "2026-03-02T18:01:28.703000Z",
  "file_hash": "ec3888218a105c33ba0bcf3727dd732a4420d1bbd74ae91baa0d23a01516892f",
  "private": false,
  "record": {
    "abstract": "We present algorithms giving upper and lower bounds for the number of\nindependent primitive rational Vassiliev invariants of degree m modulo those of\ndegree m-1. The values have been calculated for the formerly unknown degrees m\n= 10, 11, 12. Upper and lower bounds coincide, which reveals that all Vassiliev\ninvariants of degree smaller 13 are orientation insensitive and are coming from\nrepresentations of Lie algebras so and gl. Furthermore, a conjecture of Vogel\nis falsified and it is shown that the \\Lambda-module of connected trivalent\ndiagrams (Chinese characters) is not free.",
    "arxiv_id": "q-alg/9706022",
    "authors": [
      "Jan A. Kneissler"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "The number of primitive Vassiliev invariants up to degree 12",
    "url": "https://arxiv.org/abs/q-alg/9706022"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3ffee7da-41c0-48c0-afd0-190f9e78bf89",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}