{
  "annotation_id": "94e13008-400b-4055-9db3-6e5f0aa31462",
  "date_created": "2026-03-02T18:01:21.464000Z",
  "date_modified": "2026-03-02T18:01:21.464000Z",
  "file_hash": "b0ef03e57a3f13fb1ba55b75d49e32596ff6442ba93a173d8fc10d15ff6008be",
  "private": false,
  "record": {
    "abstract": "An introduction is given to some selected aspects of noncommutative geometry.\nSimple examples in this context are provided by finite sets and lattices. As an\napplication, it is explained how the nonlinear Toda lattice and a discrete time\nversion of it can be understood as generalized sigma-models based on\nnoncommutative geometries. In particular, in this way one achieves a simple\nunderstanding of the complete integrability of the Toda lattice. Furthermore,\ngeneralized metric structures on finite sets and lattices are briefly\ndiscussed.",
    "arxiv_id": "physics/9712004",
    "authors": [
      "A. Dimakis",
      "F. Muller-Hoissen"
    ],
    "categories": [
      "math-ph",
      "gr-qc",
      "hep-th",
      "math.MP",
      "math.QA",
      "nlin.SI"
    ],
    "title": "Some aspects of noncommutative geometry and physics",
    "url": "https://arxiv.org/abs/physics/9712004"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ffe4c99d-a2bc-48e4-a66f-9213d0ae2103",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}