{
  "id": "1207.3590",
  "version": "v2",
  "published": "2012-07-16T07:53:18.000Z",
  "updated": "2013-05-21T14:34:28.000Z",
  "title": "On the category of Lie n-algebroids",
  "authors": [
    "Giuseppe Bonavolontà",
    "Norbert Poncin"
  ],
  "comment": "29 pages, to appear in Journal of Geometry and Physics",
  "categories": [
    "math.DG",
    "math-ph",
    "math.MP",
    "math.RA"
  ],
  "abstract": "Lie n-algebroids and Lie infinity algebroids are usually thought of exclusively in supergeometric or algebraic terms. In this work, we apply the higher derived brackets construction to obtain a geometric description of Lie n-algebroids by means of brackets and anchors. Moreover, we provide a geometric description of morphisms of Lie n-algebroids over different bases, give an explicit formula for the Chevalley-Eilenberg differential of a Lie n-algebroid, compare the categories of Lie n-algebroids and NQ-manifolds, and prove some conjectures of Sheng and Zhu [SZ11].",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-05-21T14:34:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lie n-algebroid",
      "geometric description",
      "higher derived brackets construction",
      "lie infinity algebroids",
      "algebraic terms"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1016/j.geomphys.2013.05.004",
      "journal": "Journal of Geometry and Physics",
      "year": 2013,
      "month": "Nov",
      "volume": 73,
      "pages": 70
    },
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1123026,
      "adsabs": "2013JGP....73...70B"
    }
  }
}