{
  "id": "0810.1256",
  "version": "v1",
  "published": "2008-10-07T18:24:59.000Z",
  "updated": "2008-10-07T18:24:59.000Z",
  "title": "On spun-normal and twisted squares surfaces",
  "authors": [
    "Henry Segerman"
  ],
  "comment": "14 pages, 10 figures",
  "journal": "Proc.Amer.Math.Soc. 137 (2009), 4259-4273",
  "doi": "10.1090/S0002-9939-09-09960-2",
  "categories": [
    "math.GT"
  ],
  "abstract": "Given a 3 manifold M with torus boundary and an ideal triangulation, Yoshida and Tillmann give different methods to construct surfaces embedded in M from ideal points of the deformation variety. Yoshida builds a surface from twisted squares whereas Tillmann produces a spun-normal surface. We investigate the relation between the generated surfaces and extend a result of Tillmann's (that if the ideal point of the deformation variety corresponds to an ideal point of the character variety then the generated spun-normal surface is detected by the character variety) to the generated twisted squares surfaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-10-07T18:24:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M99"
    ],
    "keywords": [
      "ideal point",
      "character variety",
      "deformation variety corresponds",
      "construct surfaces",
      "generated spun-normal surface"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Proc. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0810.1256S"
    }
  }
}