{
  "id": "math/0007132",
  "version": "v2",
  "published": "2000-07-21T14:23:58.000Z",
  "updated": "2001-12-11T09:35:18.000Z",
  "title": "Lie Algebroids, Holonomy and Characteristic Classes",
  "authors": [
    "Rui Loja Fernandes"
  ],
  "comment": "Several typos corrected. References added. Final version for publication",
  "categories": [
    "math.DG",
    "math.SG"
  ],
  "abstract": "We extend the notion of connection in order to be able to study singular geometric structures, namely, we consider a notion of connection on a Lie algebroid which is a natural extension of the usual concept of connection. Using connections, we are able to define holonomy of the orbit foliation of a Lie algebroid and prove a stability theorem. We also introduce secondary or exotic characteristic classes that generalize the modular class of a Lie algebroid.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2001-12-11T09:35:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C05"
    ],
    "keywords": [
      "lie algebroid",
      "connection",
      "study singular geometric structures",
      "exotic characteristic classes",
      "modular class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......7132L"
    }
  }
}