{
  "id": "math/0306406",
  "version": "v1",
  "published": "2003-06-28T12:16:00.000Z",
  "updated": "2003-06-28T12:16:00.000Z",
  "title": "André-Quillen cohomology and rational homotopy of function spaces",
  "authors": [
    "Jonathan Block",
    "Andrey Lazarev"
  ],
  "categories": [
    "math.AT",
    "math.KT"
  ],
  "abstract": "We develop a simple theory of Andr\\'e-Quillen cohomology for commutative differential graded algebras over a field of characteristic zero. We then relate it to the homotopy groups of function spaces and spaces of homotopy self-equivalences of rational nilpotent $CW$-complexes. This puts certain results of Sullivan in a more conceptual framework.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-06-28T12:16:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55P62",
      "13D03",
      "16E45"
    ],
    "keywords": [
      "function spaces",
      "rational homotopy",
      "andré-quillen cohomology",
      "conceptual framework",
      "commutative differential graded algebras"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......6406B"
    }
  }
}