{
  "id": "2407.04828",
  "version": "v1",
  "published": "2024-07-05T19:34:09.000Z",
  "updated": "2024-07-05T19:34:09.000Z",
  "title": "Danceability, Directed by Braid Index",
  "authors": [
    "Sol Addison",
    "Nancy Scherich",
    "Lila Snodgrass"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "Schaffer introduced the concept of danceability of a knot diagram. In this paper, we expand upon Schaffer's ideas to create a danceability knot invariant and show that this invariant is bounded above by the braid index.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-07-05T19:34:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57K10"
    ],
    "keywords": [
      "braid index",
      "danceability knot invariant",
      "knot diagram",
      "schaffers ideas"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}