{
  "annotation_id": "1bd65ea7-088f-4c18-bf0d-5e457103af67",
  "date_created": "2026-03-02T18:01:28.416000Z",
  "date_modified": "2026-03-02T18:01:28.416000Z",
  "file_hash": "8c129521ceaf1d7dd651890d06c61ff19e84ea8862aa7a28ee4bef48ae124fa5",
  "private": false,
  "record": {
    "abstract": "Braided deformations of (symmetric) monoidal categories are related to\nVassiliev theory by a direct generalization of well-known results relating\n\"quantum\" knot invariants to Vassiliev invariants. The deformation theory of\nbraidings is subsumed by the deformation theory of monoidal functors, which\nproves surprisingly rich: the deformation complex of a monoidal functor has the\nsame structure as the deformation complex of an algebra, including a pre-Lie\nstructure, from which it is see that the problem of deforming monoidal functors\n(including braidings) is purely cohomological in nature.",
    "arxiv_id": "q-alg/9710010",
    "authors": [
      "David N. Yetter"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Braided Deformations of Monoidal Categories and Vassiliev Invariants",
    "url": "https://arxiv.org/abs/q-alg/9710010"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "606cd2f5-3162-4e24-bcc3-aa473d5edc68",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}