{
  "id": "1801.10052",
  "version": "v1",
  "published": "2018-01-30T15:21:29.000Z",
  "updated": "2018-01-30T15:21:29.000Z",
  "title": "Deformation Cohomology of Lie Algebroids and Morita Equivalence",
  "authors": [
    "Giovanni Sparano",
    "Luca Vitagliano"
  ],
  "comment": "Short note (7 pages), comments welcome!",
  "categories": [
    "math.DG",
    "math.SG"
  ],
  "abstract": "Let $A \\Rightarrow M$ be a Lie algebroid. In this short note we prove that a pull-back of $A$ along a fibration with homologically $k$-connected fibers, shares the same deformation cohomology of $A$ up to degree $k$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-01-30T15:21:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22A22",
      "53D17",
      "58H15"
    ],
    "keywords": [
      "lie algebroid",
      "deformation cohomology",
      "morita equivalence",
      "short note"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}