{
  "id": "math/0209225",
  "version": "v2",
  "published": "2002-09-18T16:18:46.000Z",
  "updated": "2003-01-05T17:26:57.000Z",
  "title": "Dwyer's filtration and topology of 4-manifolds",
  "authors": [
    "Vyacheslav Krushkal"
  ],
  "comment": "minor changes; to appear in Math. Res. Lett",
  "categories": [
    "math.GT"
  ],
  "abstract": "Topological 4-dimensional surgery is conjectured to fail, in general, for free fundamental groups. M. Freedman and P. Teichner have shown that surgery problems with an arbitrary fundamental group have a solution, provided they satisfy a certain condition on Dwyer's filtration on second homology. We give a new geometric proof of this result, and analyze its relation to the canonical surgery problems.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-01-05T17:26:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dwyers filtration",
      "arbitrary fundamental group",
      "free fundamental groups",
      "canonical surgery problems",
      "geometric proof"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......9225K"
    }
  }
}