{
  "id": "1507.01096",
  "version": "v1",
  "published": "2015-07-04T11:32:08.000Z",
  "updated": "2015-07-04T11:32:08.000Z",
  "title": "On Net Maps: Examples and Nonexistence Results",
  "authors": [
    "Edgar A. Saenz"
  ],
  "comment": "20 pages, 2 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "A Thurston map is called nearly Euclidean if its local degree at each critical point is 2 and it has exactly four postcritical points. Nearly Euclidean Thurston (NET) maps are simple generalizations of rational Lattes maps. We investigate when such a map has the property that the associated pullback map on Teichmuller space is constant. We also show that no Thurston map of degree 2 has constant pullback map",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-07-04T11:32:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37F10",
      "37F20"
    ],
    "keywords": [
      "nonexistence results",
      "net maps",
      "thurston map",
      "constant pullback map",
      "rational lattes maps"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}