{
  "annotation_id": "3c5dbed4-d7a4-4c1c-862d-6c9f5b492959",
  "date_created": "2026-03-02T18:01:25.315000Z",
  "date_modified": "2026-03-02T18:01:25.315000Z",
  "file_hash": "cecf95807bc1a4d77948565f95ed400fecfe4580ab3c4146928103b829c74f47",
  "private": false,
  "record": {
    "abstract": "A theory of principal bundles possessing quantum structure groups and\nclassical base manifolds is presented. Structural analysis of such quantum\nprincipal bundles is performed. A differential calculus is constructed,\ncombining differential forms on the base manifold with an appropriate\ndifferential calculus on the structure quantum group. Relations between the\ncalculus on the group and the calculus on the bundle are investigated. A\nconcept of (pseudo)tensoriality is formulated. The formalism of connections is\ndeveloped. In particular, operators of horizontal projection, covariant\nderivative and curvature are constructed and analyzed. Generalizations of the\nfirst structure equation and of the Bianchi identity are found. Illustrative\nexamples are presented.",
    "arxiv_id": "q-alg/9507019",
    "authors": [
      "Mico Durdevic"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1007/BF02099507",
    "title": "Geometry of Quantum Principal Bundles I",
    "url": "https://arxiv.org/abs/q-alg/9507019"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ee9caa0e-a60c-41b6-a040-e9bd6b707b37",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}