{
  "id": "1808.10022",
  "version": "v1",
  "published": "2018-08-29T19:57:08.000Z",
  "updated": "2018-08-29T19:57:08.000Z",
  "title": "CAT(-1)-Type Properties for Teichmüller Space",
  "authors": [
    "Ian Frankel"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "We show that if Teichm\\\"uller geodesics spend enough time in the thick part of moduli space, they display CAT(-1)-type properties. In particular, they exponentially contract along strongly stable leaves. As an application we prove two closing lemmas.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-29T19:57:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "teichmüller space",
      "properties",
      "geodesics spend",
      "thick part",
      "moduli space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}