{
  "id": "1510.02530",
  "version": "v1",
  "published": "2015-10-08T23:48:20.000Z",
  "updated": "2015-10-08T23:48:20.000Z",
  "title": "Deformations of Lie groupoids",
  "authors": [
    "Marius Crainic",
    "João Nuno Mestre",
    "Ivan Struchiner"
  ],
  "comment": "44 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "We study deformations of Lie groupoids by means of the cohomology which controls them. This cohomology turns out to provide an intrinsic model for the cohomology of a Lie groupoid with values in its adjoint representation. We prove several fundamental properties of the deformation cohomology including Morita invariance, a van Est theorem, and a vanishing result in the proper case. Combined with Moser's deformation arguments for groupoids, we obtain several rigidity and normal form results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-08T23:48:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58H15",
      "58H05"
    ],
    "keywords": [
      "lie groupoid",
      "normal form results",
      "mosers deformation arguments",
      "intrinsic model",
      "study deformations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 44,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151002530C"
    }
  }
}