{
  "id": "2311.00817",
  "version": "v1",
  "published": "2023-11-01T20:00:15.000Z",
  "updated": "2023-11-01T20:00:15.000Z",
  "title": "Using the HOMFLY-PT polynomial to compute knot types",
  "authors": [
    "Eric J. Rawdon",
    "Robert G. Scharein"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "The HOMFLY-PT polynomial is a link invariant which is effective in determining chiral knot and link types with small crossing numbers. In this chapter, we concentrate on knots. We provide a guide for computing the knot types of configurations from 3D coordinates via the HOMFLY-PT polynomial using publicly-available Linux freeware. We include data on the efficacy of HOMFLY-PT for knot types through crossing number 16.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-11-01T20:00:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57K10"
    ],
    "keywords": [
      "knot types",
      "homfly-pt polynomial",
      "link invariant",
      "determining chiral knot",
      "publicly-available linux freeware"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}