{
  "id": "2006.16328",
  "version": "v1",
  "published": "2020-06-29T19:23:32.000Z",
  "updated": "2020-06-29T19:23:32.000Z",
  "title": "Veering triangulations and the Thurston norm: homology to isotopy",
  "authors": [
    "Michael Landry"
  ],
  "comment": "38 pages, 33 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We show that a veering triangulation $\\tau$ specifies a face $\\sigma$ of the Thurston norm ball of a closed three-manifold, and computes the Thurston norm in the cone over $\\sigma$. Further, we show that $\\tau$ collates exactly the taut surfaces representing classes in the cone over $\\sigma$ up to isotopy. The analysis includes nonlayered veering triangulations and nonfibered faces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-29T19:23:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57K32"
    ],
    "keywords": [
      "veering triangulation",
      "thurston norm ball",
      "taut surfaces representing classes",
      "nonfibered faces",
      "closed three-manifold"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 38,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}