{
  "id": "0810.4437",
  "version": "v2",
  "published": "2008-10-24T12:00:42.000Z",
  "updated": "2010-01-17T23:27:13.000Z",
  "title": "Stability of symplectic leaves",
  "authors": [
    "Marius Crainic",
    "Rui Loja Fernandes"
  ],
  "comment": "Final version accepted for publication in Inventiones Mathematicae",
  "categories": [
    "math.DG",
    "math.SG"
  ],
  "abstract": "We find computable criteria for stability of symplectic leaves of Poisson manifolds. Using Poisson geometry as an inspiration, we also give a general criterion for stability of leaves of Lie algebroids, including singular ones. This not only extends but also provides a new approach (and proofs) to the classical stability results for foliations and group actions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-01-17T23:27:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "symplectic leaves",
      "poisson manifolds",
      "poisson geometry",
      "group actions",
      "lie algebroids"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0810.4437C"
    }
  }
}