{
  "id": "2302.12236",
  "version": "v1",
  "published": "2023-02-23T18:56:26.000Z",
  "updated": "2023-02-23T18:56:26.000Z",
  "title": "On the Cosmetic Crossing Conjecture for Special Alternating Links",
  "authors": [
    "Joe Boninger"
  ],
  "comment": "6 pages, 2 figures, comments welcome",
  "categories": [
    "math.GT"
  ],
  "abstract": "We prove that a family of links, which includes all special alternating knots, does not admit non-nugatory crossing changes which preserve the isotopy type of the link. Our proof incorporates a result of Lidman and Moore on crossing changes to knots with $L$-space branched double-covers, as well as tools from Scharlemann and Thompon's proof of the cosmetic crossing conjecture for the unknot.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-02-23T18:56:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57K10"
    ],
    "keywords": [
      "cosmetic crossing conjecture",
      "special alternating links",
      "admit non-nugatory crossing changes",
      "space branched double-covers",
      "proof incorporates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}