{
  "id": "math/9811116",
  "version": "v1",
  "published": "1998-11-19T16:22:49.000Z",
  "updated": "1998-11-19T16:22:49.000Z",
  "title": "Immersed spheres and finite type of Donaldson invariants",
  "authors": [
    "Wojciech Wieczorek"
  ],
  "comment": "19 pages, LaTeX file",
  "categories": [
    "math.DG"
  ],
  "abstract": "A smooth four manifold is of finite type $r$ if its Donaldson invariant satisfies D((x^2-4)^r)=0. We prove that every simply connected manifold is of finite type by using the structure of Donaldson invariants in the presence of immersed spheres. More precisely we prove that if a manifold X contains an immersed sphere with $p$ positive double points and a non-negative self-intersection $a$, then it is of finite type with r = [(2p+2-a)/4].",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-11-19T16:22:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite type",
      "immersed sphere",
      "donaldson invariant satisfies",
      "positive double points",
      "non-negative self-intersection"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math.....11116W"
    }
  }
}