{
  "annotation_id": "dd08360e-5937-49c5-bf8d-e3dac0c7bd64",
  "date_created": "2026-03-02T18:01:28.580000Z",
  "date_modified": "2026-03-02T18:01:28.580000Z",
  "file_hash": "2e4bdd6e548f5f314f7c868e465995d3b349bc7f18ac36db7ea66c700c726717",
  "private": false,
  "record": {
    "abstract": "We study the asymptotic expansion of the colored Jones polynomial (the\nMelvin-Morton expansion) using a recursion formula for the deframed universal\nweight system for the $sl(2)$ Lie algebra. Combined with the formula for the\nuniversal weight system for the Lie superalgebra $gl(1|1)$ (which corresponds\nto the Alexander-Conway knot polynomial) this formula gives a very short proof\nof the Melvin-Morton conjecture relating the colored Jones invariant and the\nAlexander-Conway polynomial of knots.",
    "arxiv_id": "q-alg/9605003",
    "authors": [
      "Arkady Vaintrob"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Universal weight systems and the Melvin-Morton expansion of the colored   Jones knot invariant",
    "url": "https://arxiv.org/abs/q-alg/9605003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c7f2c840-527d-49a7-83f8-17aad87ae954",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}