{
  "id": "2007.07120",
  "version": "v1",
  "published": "2020-07-14T15:38:39.000Z",
  "updated": "2020-07-14T15:38:39.000Z",
  "title": "On the integration of transitive Lie algebroids",
  "authors": [
    "Eckhard Meinrenken"
  ],
  "comment": "23 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "We revisit the problem of integrating Lie algebroids $A\\Rightarrow M$ to Lie groupoids $G\\rightrightarrows M$, for the special case that the Lie algebroid $A$ is transitive. We obtain a geometric explanation of the Crainic-Fernandes obstructions for this situation, and an explicit construction of the integration whenever these obstructions vanish. We also indicate an extension of this approach to regular Lie algebroids.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-14T15:38:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58H05",
      "53D17"
    ],
    "keywords": [
      "transitive lie algebroids",
      "integration",
      "regular lie algebroids",
      "integrating lie algebroids",
      "lie groupoids"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}