{
  "annotation_id": "21525339-369f-46b4-8ba3-fa2a90629eb7",
  "date_created": "2026-03-02T18:01:28.580000Z",
  "date_modified": "2026-03-02T18:01:28.580000Z",
  "file_hash": "989d13c9bb0b6e61392ba4a4a9e4c32ab3ce8281bcfb1fae117bfa83fe3a013c",
  "private": false,
  "record": {
    "abstract": "The Kauffman bracket skein module $K(M)$ of a 3-manifold $M$ is defined over\nformal power series in the variable $h$ by letting $A=e^{h/4}$. For a compact\noriented surface $F$, it is shown that $K(F \\times I)$ is a quantization of the\n$\\g$-characters of the fundamental group of $F$, corresponding to a\ngeometrically defined Poisson bracket. Finite type invariants for unoriented\nknots and links are defined. Topologically free Kauffman bracket modules are\nshown to generate finite type invariants. It is shown for compact $M$ that\n$K(M)$ can be generated as a module by cables on a finite set of knots.\nMoreover, if $M$ contains no incompressible surfaces, the module is finitely\ngenerated.",
    "arxiv_id": "q-alg/9604013",
    "authors": [
      "Doug Bullock",
      "Charles Frohman",
      "Joanna Kania-Bartoszynska"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Understanding the Kauffman bracket skein module",
    "url": "https://arxiv.org/abs/q-alg/9604013"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2c16aa36-e1c6-4c13-a655-bbada89dd06f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}