{
  "annotation_id": "a0b25838-2065-4bd5-93b7-b682df833ff7",
  "date_created": "2026-03-02T18:01:28.012000Z",
  "date_modified": "2026-03-02T18:01:28.012000Z",
  "file_hash": "0a6a9750bd9ac526614053b89d356d4d038563d1847bb319c7c356e3f8d71a77",
  "private": false,
  "record": {
    "abstract": "Braided non-commutative differential geometry is studied. In particular we\ninvestigate the theory of (bicovariant) differential calculi in braided abelian\ncategories. Previous results on crossed modules and Hopf bimodules in braided\ncategories are used to construct higher order bicovariant differential calculi\nover braided Hopf algebras out of first order ones. These graded objects are\nshown to be braided differential Hopf algebras with universal bialgebra\nproperties. The article especially extends Woronowicz\u0027s results on\n(bicovariant) differential calculi to the braided non-commutative case.",
    "arxiv_id": "q-alg/9703036",
    "authors": [
      "Yuri Bespalov",
      "Bernhard Drabant"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Differential Calculus in Braided Abelian Categories",
    "url": "https://arxiv.org/abs/q-alg/9703036"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f87cc92d-50c0-44cf-84ac-b9668a2aa1be",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}