{
  "annotation_id": "52b084ec-c4e4-4a03-a07f-39b284e91d17",
  "date_created": "2026-03-02T18:01:28.094000Z",
  "date_modified": "2026-03-02T18:01:28.094000Z",
  "file_hash": "18dbfb0738eceac49d8d39913752af1c89f6e05e47ddf9561f7f375b45e46829",
  "private": false,
  "record": {
    "abstract": "We formulate a conjecture about the structure of `upper lines\u0027 in the\nexpansion of the colored Jones polynomial of a knot in powers of (q-1). The\nMelvin-Morton conjecture states that the bottom line in this expansion is equal\nto the inverse Alexander polynomial of the knot. We conjecture that the upper\nlines are rational functions whose denominators are powers of the Alexander\npolynomial. We prove this conjecture for torus knots and give experimental\nevidence that it is also true for other types of knots.",
    "arxiv_id": "q-alg/9601009",
    "authors": [
      "L. Rozansky"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1007/BF02506408",
    "title": "Higher Order Terms in the Melvin-Morton Expansion of the Colored Jones   Polynomial",
    "url": "https://arxiv.org/abs/q-alg/9601009"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "29085fff-af95-4943-b33b-619fd1e88423",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}