{
  "id": "2203.14450",
  "version": "v1",
  "published": "2022-03-28T02:16:42.000Z",
  "updated": "2022-03-28T02:16:42.000Z",
  "title": "Hyperbolic L-space knots and their formal semigroups",
  "authors": [
    "Masakazu Teragaito"
  ],
  "comment": "17 pages, 14 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "For an L-space knot, the formal semigroup is defined from its Alexander polynomial. It is not necessarily a semigroup. That is, it may not be closed under addition. There exists an infinite family of hyperbolic L-space knots whose formal semigroups are semigroups generated by three elements. In this paper, we give the first infinite family of hyperbolic L-space knots whose formal semigroups are semigroups generated by five elements.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-03-28T02:16:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57K10"
    ],
    "keywords": [
      "hyperbolic l-space knots",
      "formal semigroup",
      "alexander polynomial",
      "first infinite family"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}