{
  "id": "1011.0700",
  "version": "v2",
  "published": "2010-11-02T18:46:27.000Z",
  "updated": "2012-08-31T21:30:50.000Z",
  "title": "An Infinite Surface With The Lattice Property I: Veech Groups and Coding Geodesics",
  "authors": [
    "W. Patrick Hooper"
  ],
  "comment": "23 pages, 10 figures. Improved exposition. Theorem 10 is an improved geodesic coding result. arXiv admin note: text overlap with arXiv:0802.0189",
  "categories": [
    "math.DS"
  ],
  "abstract": "We study the symmetries and geodesics of an infinite translation surface which arises as a limit of translation surfaces built from regular polygons, studied by Veech. We find the affine symmetry group of this infinite translation surface, and we show that this surface admits a deformation into other surfaces with topologically equivalent affine symmetries. The geodesics on these new surfaces are combinatorially the same as the geodesics on the original.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-08-31T21:30:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D40",
      "37E99"
    ],
    "keywords": [
      "lattice property",
      "infinite surface",
      "veech groups",
      "coding geodesics",
      "infinite translation surface"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1011.0700H"
    }
  }
}