{
  "annotation_id": "00150cfc-66fb-4422-bf66-657b1d0ff6a6",
  "date_created": "2026-03-02T18:01:28.701000Z",
  "date_modified": "2026-03-02T18:01:28.701000Z",
  "file_hash": "f7e61cb476551cce9b8a40d070bffe49cb359d79d2316c59332a151e88345922",
  "private": false,
  "record": {
    "abstract": "This article is devoted to the investigation of the deformation (twisting) of\nmonoidal structures, such as the associativity constraint of the monoidal\ncategory and the monoidal structure of monoidal functor. The sets of twistings\nhave a (non-abelian) c ohomological nature. Using this fact the maps from the\nsets of twistings to some cohomology groups (Hochschild cohomology of K-theory)\nare constructed. The examples of monoidal categories of bimodules over some\nalgebra, modules and comodules over bialgeb ra are examined. We specially\nconcentrate on the case of free tensor category.",
    "arxiv_id": "q-alg/9703001",
    "authors": [
      "A. A. Davydov"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Twisting of monoidal structures",
    "url": "https://arxiv.org/abs/q-alg/9703001"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "74b3772c-c8ca-4dbf-ad4d-7a74b93cba9d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}