{
  "id": "2205.05347",
  "version": "v1",
  "published": "2022-05-11T08:50:30.000Z",
  "updated": "2022-05-11T08:50:30.000Z",
  "title": "Quasipositivity and braid index of pretzel knots",
  "authors": [
    "Lukas Lewark"
  ],
  "comment": "6 pages, 2 figures. Comments welcome",
  "categories": [
    "math.GT"
  ],
  "abstract": "This short note is about three-stranded pretzel knots that have an even number of crossings in one of the strands. We calculate the braid index of such knots and determine which of them are quasipositive. The main tools are the Morton-Franks-Williams inequalities, and Khovanov-Rozansky concordance homomorphisms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-11T08:50:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57K10",
      "57K14",
      "57K18"
    ],
    "keywords": [
      "braid index",
      "quasipositivity",
      "khovanov-rozansky concordance homomorphisms",
      "short note",
      "main tools"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}