{
  "id": "0707.2350",
  "version": "v2",
  "published": "2007-07-16T17:12:44.000Z",
  "updated": "2008-03-18T18:19:14.000Z",
  "title": "A remarkable DG-module model for configuration spaces",
  "authors": [
    "Pascal Lambrechts",
    "Don Stanley"
  ],
  "comment": "Minor revision",
  "categories": [
    "math.AT"
  ],
  "abstract": "Let M be a simply-connected closed manifold and consider the (ordered) configuration space of $k$ points in M, F(M,k). In this paper we construct a commutative differential graded algebra which is a potential candidate for a model of the rational homotopy type of F(M,k). We prove that our model it is at least a Sigma_k-equivariant differential graded model. We also study Lefschetz duality at the level of cochains and describe equivariant models of the complement of a union of polyhedra in a closed manifold.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-03-18T18:19:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55R80",
      "55P62"
    ],
    "keywords": [
      "configuration space",
      "dg-module model",
      "rational homotopy type",
      "study lefschetz duality",
      "equivariant models"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0707.2350L"
    }
  }
}