{
  "id": "1504.06703",
  "version": "v1",
  "published": "2015-04-25T09:17:07.000Z",
  "updated": "2015-04-25T09:17:07.000Z",
  "title": "Complements of tori in $\\#_{2k}S^2 \\times S^2$ that admit a hyperbolic structure",
  "authors": [
    "Hemanth Saratchandran"
  ],
  "comment": "26 pages",
  "categories": [
    "math.GT"
  ],
  "abstract": "We construct examples of codimension two hyperbolic link complements in closed smooth 4-manifolds with homeomorphism type $\\#_{2k}S^2 \\times S^2$. All our examples are based on a construction of J. Ratcliffe and S. Tschantz, who constructed 1171 non-compact finite volume hyperbolic 4-manifolds of minimal volume. We then give necessary conditions for a closed smooth simply connected 4-manifold to contain a codimension two link complement that admits a hyperbolic structure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-25T09:17:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hyperbolic structure",
      "non-compact finite volume hyperbolic",
      "hyperbolic link complements",
      "closed smooth",
      "codimension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150406703S"
    }
  }
}