{
  "id": "math/0208011",
  "version": "v1",
  "published": "2002-08-02T08:02:59.000Z",
  "updated": "2002-08-02T08:02:59.000Z",
  "title": "Remarks on a conjecture of Gromov and Lawson",
  "authors": [
    "William Dwyer",
    "Thomas Schick",
    "Stephan Stolz"
  ],
  "comment": "LaTeX2e, 14 pagers",
  "journal": "High-dimensional manifold topology, Proceedings of the school held in Trieste, May 21--June 8, 2001. Edited by F. T. Farrell and W. L\\~A1/4ck. 159--176, World Sci. Publ., River Edge, NJ, 2003.",
  "categories": [
    "math.GT",
    "math.AT",
    "math.DG",
    "math.KT"
  ],
  "abstract": "Gromov and Lawson conjectured that a closed spin manifold M of dimension n with fundamental group pi admits a metric with positive scalar curvature if and only if an associated element in KO_n(B pi) vanishes. In this note we present counter examples to the `if' part of this conjecture for groups pi which are torsion free and whose classifying space is a manifold with negative curvature (in the Alexandrov sense).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-08-02T08:02:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C21"
    ],
    "keywords": [
      "conjecture",
      "fundamental group pi admits",
      "groups pi",
      "counter examples",
      "positive scalar curvature"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......8011D"
    }
  }
}