{
  "id": "math/0009248",
  "version": "v1",
  "published": "2000-09-29T15:47:10.000Z",
  "updated": "2000-09-29T15:47:10.000Z",
  "title": "Families of four dimensional manifolds that become mutually diffeomorphic after one stabilization",
  "authors": [
    "D. Auckly"
  ],
  "comment": "23 pages, 30 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "In this paper, we will introduce a cut and paste move, called a geometrically null log transform, and prove that any two manifolds related by a sequence of these moves become diffeomorphic afte r one stabilization. To motivate the cut and paste move, we will use the symplec tic fiber sum, and a construction of Fintushel and Stern to construct several large families of 4-manifolds. We will then proceed to prove that the members of any one of these families become diffeomorphic after one stabilization. Finally, we will compute the Seiberg-Witten invariants of each member of each of the families.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-09-29T15:47:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dimensional manifolds",
      "mutually diffeomorphic",
      "stabilization",
      "paste move",
      "symplec tic fiber sum"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......9248A"
    }
  }
}