{
  "id": "math/0405003",
  "version": "v5",
  "published": "2004-05-01T03:02:42.000Z",
  "updated": "2006-11-27T18:21:51.000Z",
  "title": "Integrating Lie algebroids via stacks",
  "authors": [
    "Hsian-Hua Tseng",
    "Chenchang Zhu"
  ],
  "comment": "a proof improved",
  "journal": "Compositio Mathematica, Volume 142 (2006), Issue 01, pp 251-270",
  "categories": [
    "math.DG",
    "math.AG"
  ],
  "abstract": "Lie algebroids can not always be integrated into Lie groupoids. We introduce a new object--``Weinstein groupoid'', which is a differentiable stack with groupoid-like axioms. With it, we have solved the integration problem of Lie algebroids. It turns out that every Weinstein groupoid has a Lie algebroid and every Lie algebroid can be integrated into a Weinstein groupoid.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2006-11-27T18:21:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "integrating lie algebroids",
      "weinstein groupoid",
      "lie groupoids",
      "integration problem"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......5003T"
    }
  }
}