{
  "id": "2212.06483",
  "version": "v1",
  "published": "2022-12-13T11:09:17.000Z",
  "updated": "2022-12-13T11:09:17.000Z",
  "title": "Oriented Birkhoff sections of Anosov flows",
  "authors": [
    "Masayuki Asaoka",
    "Christian Bonatti",
    "Théo Marty"
  ],
  "comment": "40 pages, 6 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "This paper gives 3 different proofs (independently obtained by the 3 authors) of the following fact: given an Anosov flow on an oriented 3 manifold, the existence of a positive Birkhoff section is equivalent to the fact that the flow is $\\mathbb{R}$-covered positively twisted.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-12-13T11:09:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D20",
      "37C86"
    ],
    "keywords": [
      "oriented birkhoff sections",
      "anosov flow",
      "positive birkhoff section",
      "equivalent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 40,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}