{
  "annotation_id": "acfaf30d-e5e0-49dd-b2b8-23c164fbc661",
  "date_created": "2026-02-17T05:53:04.895000Z",
  "date_modified": "2026-02-17T05:53:04.895000Z",
  "file_hash": "28d50ede61396d12ddc0d9ea77658634b3c272077b78994c06296a2936645182",
  "private": false,
  "record": {
    "abstract": "We give a Hamiltonian formulation of %the first order Weyl--Einstein--Cartan gravity which is covariant from the viewpoint of the geometry of the principal fiber bundle. The connection is represented by a $1$-form with values in the Poincar\\\u0027{e} Lie algebra, which is defined on the total space of the orthonormal frame bundle fibered over the space-time. Within the $10$-plectic framework we discover that the local equivariance property of the Cartan connection is a consequence of the Hamilton equations.",
    "arxiv_id": "2601.05409",
    "authors": [
      "Dimitri Vey"
    ],
    "categories": [
      "math-ph",
      "gr-qc",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "10-plectic formulation of gravity and Cartan connections",
    "url": "https://arxiv.org/abs/2601.05409",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7982c841-4ac3-43c2-b5bd-648e316a0e87",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}