{
  "id": "math/0610064",
  "version": "v1",
  "published": "2006-10-02T08:36:52.000Z",
  "updated": "2006-10-02T08:36:52.000Z",
  "title": "Centralizers of C^1-generic diffeomorphisms",
  "authors": [
    "Christian Bonatti",
    "Sylvain Crovisier",
    "Amie Wilkinson"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "On the one hand, we prove that the spaces of C^1 symplectomorphisms and of C^1 volume-preserving diffeomorphisms both contain residual subsets of diffeomorphisms whose centralizers are trivial. On the other hand, we show that the space of C^1 diffeomorphisms of the circle and a non-empty open set of C^1 diffeomorphisms of the two-sphere contain dense subsets of diffeomorphisms whose centralizer has a sub-group isomorphic to R.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-10-02T08:36:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "centralizer",
      "two-sphere contain dense subsets",
      "non-empty open set",
      "contain residual subsets",
      "sub-group isomorphic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....10064B"
    }
  }
}