{
  "annotation_id": "1dde4f99-6919-4fd7-a961-25739dc4a4f5",
  "date_created": "2026-03-02T18:01:24.722000Z",
  "date_modified": "2026-03-02T18:01:24.722000Z",
  "file_hash": "1f452dfe812b33b2ed39ed01d60b288caba621a60dd06ef53b044f92928ffd17",
  "private": false,
  "record": {
    "abstract": "We describe the quantum sphere of Podle\\\u0027{s} for $c=0$ by means of a\nstereographic projection which is analogous to that which exhibits the\nclassical sphere as a complex manifold. We show that the algebra of functions\nand the differential calculus on the sphere are covariant under the coaction of\nfractional transformations with \\SU coefficients as well as under the action of\n\\SU vector fields. Going to the classical limit we obtain the Poisson sphere.\nFinally, we study the invariant integration of functions on the sphere and find\nits relation with the translationally invariant integration on the complex\nquantum plane.",
    "arxiv_id": "q-alg/9504003",
    "authors": [
      "Chong-Sun Chu",
      "Pei-Ming Ho",
      "Bruno Zumino"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "The quantum 2-sphere as a complex quantum manifold",
    "url": "https://arxiv.org/abs/q-alg/9504003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "442e016f-4628-487d-a800-2ee3ab48035a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}