{
  "annotation_id": "be3c3022-441a-4b06-a641-8fc379d073e6",
  "date_created": "2026-03-02T18:01:28.644000Z",
  "date_modified": "2026-03-02T18:01:28.644000Z",
  "file_hash": "fc3e85d5f0adbc60c17a12720b4b3232e5320192185bc6d36ce7575d26820439",
  "private": false,
  "record": {
    "abstract": "We discuss the consequences of the possibility that Vassiliev invariants do\nnot detect knot invertibility as well as the fact that quantum Lie group\ninvariants are known not to do so. On the other hand, finite group invariants,\nsuch as the set of homomorphisms from the knot group to M_11, can detect knot\ninvertibility. For many natural classes of knot invariants, including Vassiliev\ninvariants and quantum Lie group invariants, we can conclude that the\ninvariants either distinguish all oriented knots, or there exist prime,\nunoriented knots which they do not distinguish.",
    "arxiv_id": "q-alg/9712048",
    "authors": [
      "Greg Kuperberg"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "journal_ref": "J. Knot Theory Ramifications 5 (1996), 173-181",
    "title": "Detecting knot invertibility",
    "url": "https://arxiv.org/abs/q-alg/9712048"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f29cf108-3ccf-41d7-9554-6c16c80340fe",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}