{
  "id": "math/0107092",
  "version": "v1",
  "published": "2001-07-12T19:18:40.000Z",
  "updated": "2001-07-12T19:18:40.000Z",
  "title": "Seiberg-Witten invariants, orbifolds, and circle actions",
  "authors": [
    "Scott Baldridge"
  ],
  "comment": "Latex, 27 pages, 2 figures",
  "categories": [
    "math.GT",
    "math.DG"
  ],
  "abstract": "The main result of this paper is a formula for calculating the Seiberg-Witten invariants of 4-manifolds with fixed-point free circle actions. This is done by showing under suitable conditions the existence of a diffeomorphism between the moduli space of the 4-manifold and the moduli space of the quotient 3-orbifold. Two corollaries include b_+>1 4-manifolds with fixed-point free circle actions are simple type and a new proof that the four dimensional invariants of $Y \\times S^1$ are equal to the the three dimensional invariants of $Y$. An infinite number of b_+=1 4-manifolds where the Seiberg-Witten invariants are still diffeomorphism invariants are constructed and studied.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-07-12T19:18:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R57",
      "57M60"
    ],
    "keywords": [
      "seiberg-witten invariants",
      "fixed-point free circle actions",
      "dimensional invariants",
      "moduli space",
      "main result"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......7092B"
    }
  }
}