{
  "id": "math/0608396",
  "version": "v3",
  "published": "2006-08-15T16:55:25.000Z",
  "updated": "2010-08-31T20:24:57.000Z",
  "title": "Orbifolds as a localization of the 2-category of groupoids",
  "authors": [
    "Eugene Lerman"
  ],
  "comment": "This paper has been withdrawn by the author",
  "categories": [
    "math.DG",
    "math.CT"
  ],
  "abstract": "We build a concrete and natural model for the strict 2-category of orbifolds. In particular we prove that if one localizes the 2-category of proper etale Lie groupoids at a class of 1-arrows that we call \"covers\", then the strict 2-category structure drops down to the localization. In our construction the spaces of 1- and 2-arrows admit natural topologies, the space of morphisms (1-arrows) between two orbifolds is naturally a groupoid and the symmetries of an orbifold form a strict 2-group.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-08-31T20:24:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "localization",
      "proper etale lie groupoids",
      "admit natural topologies",
      "structure drops",
      "natural model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}