{
  "id": "1312.0501",
  "version": "v1",
  "published": "2013-12-02T16:22:00.000Z",
  "updated": "2013-12-02T16:22:00.000Z",
  "title": "Cyclic branched covers of knots as links of real isolated singularities",
  "authors": [
    "Haydée Aguilar-Cabrera"
  ],
  "comment": "6 pages",
  "categories": [
    "math.GT"
  ],
  "abstract": "Given a real analytic function $f$ from $\\mathbb{R}^4$ to $\\mathbb{R}^2$ with isolated critical point at the origin, the link $L_f$ of the singularity is a real fibred knot in $\\mathbb{S}^{3}$. From this singularities, we construct a family of real isolated suspension singularities from $\\mathbb{R}^6$ to $\\mathbb{R}^2$ such that its links are the total spaces of the $n$-branched cyclic coverings over the corresponding knots. In this way we obtain as links of singularities, $3$-manifolds that does not appear in the complex case, such as hyperbolic $3$-manifolds or the Hantzsche-Wendt manifold.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-12-02T16:22:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32S55",
      "57M10",
      "57M25",
      "57Q45",
      "26C99"
    ],
    "keywords": [
      "singularity",
      "cyclic branched covers",
      "real isolated singularities",
      "real analytic function",
      "real isolated suspension singularities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1312.0501A"
    }
  }
}