{
  "id": "1810.11202",
  "version": "v1",
  "published": "2018-10-26T06:47:35.000Z",
  "updated": "2018-10-26T06:47:35.000Z",
  "title": "Orderability of Homology Spheres Obtained by Dehn Filling",
  "authors": [
    "Xinghua Gao"
  ],
  "comment": "30 pages, 17 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "In this paper, I construct the holonomy extension locus of a $\\mathbb{Q}$-homology solid torus which is an analog of its translation extension locus. Using extension loci, I study $\\mathbb{Q}$-homology 3-spheres coming from Dehn fillings of $\\mathbb{Q}$-homology solid tori and construct intervals of orderable Dehn fillings.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-10-26T06:47:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "homology spheres",
      "homology solid torus",
      "orderability",
      "holonomy extension locus",
      "translation extension locus"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}