{
  "id": "2002.08191",
  "version": "v1",
  "published": "2020-02-17T21:48:46.000Z",
  "updated": "2020-02-17T21:48:46.000Z",
  "title": "Involutions of alternating links",
  "authors": [
    "Keegan Boyle"
  ],
  "comment": "12 pages, 9 figures. arXiv admin note: text overlap with arXiv:1906.04308",
  "categories": [
    "math.GT"
  ],
  "abstract": "Let $L$ be an alternating prime non-split link in $S^3$. We use the category of flypes between reduced alternating diagrams for $L$ to classify involutions on $L$. As consequences, we show that the quotient of an alternating periodic link is alternating, and that all freely 2-periodic alternating links have an even number of components.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-17T21:48:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M60"
    ],
    "keywords": [
      "alternating links",
      "alternating prime non-split link",
      "alternating periodic link",
      "components",
      "reduced alternating diagrams"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}