{
  "id": "1703.06874",
  "version": "v1",
  "published": "2017-03-20T17:58:22.000Z",
  "updated": "2017-03-20T17:58:22.000Z",
  "title": "L-space surgeries on satellites by algebraic links",
  "authors": [
    "Sarah Dean Rasmussen"
  ],
  "comment": "39 pages, 1 figure",
  "categories": [
    "math.GT",
    "math.AG"
  ],
  "abstract": "We provide an explicit description of the region of rational L-space surgery slopes for a torus-link satellite of any L-space knot in $S^3$ (including the unknot), with a result that precisely extends Hedden's and Hom's analogous result for cables. More generally, we characterize the region of rational L-space surgery slopes for satellites by algebraic links and for iterated satellites by torus-links. We also address implications for conjectures of Boyer-Gordon-Watson and Juh\\'asz for surgeries on torus-link satellites of knots in $S^3$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-20T17:58:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27"
    ],
    "keywords": [
      "algebraic links",
      "rational l-space surgery slopes",
      "torus-link satellite",
      "l-space knot",
      "address implications"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 39,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}