{
  "annotation_id": "934fade2-c17a-4857-bb49-28ed64cf573e",
  "date_created": "2026-03-02T18:01:27.733000Z",
  "date_modified": "2026-03-02T18:01:27.733000Z",
  "file_hash": "261a8bd0d3dfcf9fccc7053abab42f0eb89d9a8617e6b8e9c1b02ccbb3cfd199",
  "private": false,
  "record": {
    "abstract": "The Teichm\\\"uller space of punctured surfaces with the Weil-Petersson\nsymplectic structure and the action of the mapping class group is realized as\nthe Hamiltonian reduction of a finite dimensional symplectic space where the\nmapping class group acts by symplectic rational transformations. Upon\nquantization the corresponding (projective) representation of the mapping class\ngroup is generated by the quantum dilogarithms.",
    "arxiv_id": "q-alg/9705021",
    "authors": [
      "R. M. Kashaev"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Quantization of Teichm\\\"uller spaces and the quantum dilogarithm",
    "url": "https://arxiv.org/abs/q-alg/9705021"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0c287866-1d45-4a85-8d8d-86196d70848c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}