{
  "annotation_id": "5f8dc55b-9912-4eb2-9e64-a5d24a650f47",
  "date_created": "2026-03-02T18:01:24.722000Z",
  "date_modified": "2026-03-02T18:01:24.722000Z",
  "file_hash": "aa5ed4bb77c9a563ed7217bbf357cf12c71724eaaac30af8f7c4b200aa1c56e0",
  "private": false,
  "record": {
    "abstract": "We define and study the theory of derivation-based connections on a recently\nintroduced class of bimodules over an algebra which reduces to the category of\nmodules whenever the algebra is commutative. This theory contains, in\nparticular, a noncommutative generalization of linear connections. We also\ndiscuss the different noncommutative versions of differential forms based on\nderivations. Then we investigate reality conditions and a noncommutative\ngeneralization of pseudo-riemannian structures.",
    "arxiv_id": "q-alg/9503020",
    "authors": [
      "Michel Dubois-Violette",
      "Peter W. Michor"
    ],
    "categories": [
      "q-alg",
      "dg-ga",
      "math.DG",
      "math.QA"
    ],
    "doi": "10.1016/0393-0440(95)00057-7",
    "journal_ref": "J. Geom. Physics, 20 (1996), 218-232",
    "title": "Connections on central bimodules",
    "url": "https://arxiv.org/abs/q-alg/9503020"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d2675792-eece-4319-a966-8cefc5ab8ea0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}