{
  "id": "2106.15582",
  "version": "v1",
  "published": "2021-06-29T17:16:54.000Z",
  "updated": "2021-06-29T17:16:54.000Z",
  "title": "Non-left-orderability of cyclic branched covers of pretzel knots $P(3,-3,-2k-1)$",
  "authors": [
    "Lin Li",
    "Zipei Nie"
  ],
  "comment": "5 pages, 2 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We prove the non-left-orderability of the fundamental group of the $n$-th fold cyclic branched cover of the pretzel knot $P(3,-3,-2k-1)$ for all integers $k$ and $n\\ge 1$. These $3$-manifolds are $L$-spaces discovered by Issa and Turner.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-06-29T17:16:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "pretzel knot",
      "non-left-orderability",
      "th fold cyclic branched cover",
      "fundamental group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}