{
  "id": "math/0003176",
  "version": "v2",
  "published": "2000-03-27T19:41:26.000Z",
  "updated": "2001-05-01T13:56:33.000Z",
  "title": "Bordism-finiteness and semi-simple group actions",
  "authors": [
    "Anand Dessai"
  ],
  "comment": "to appear in Geometriae Dedicata, minor changes, one reference changed",
  "journal": "Geometriae Dedicata 90, (2002), pp. 49-62",
  "categories": [
    "math.GT",
    "math.AT",
    "math.KT"
  ],
  "abstract": "We give bordism-finiteness results for manifolds with semi-simple group action. Consider the class of oriented manifolds which admit a circle action with isolated fixed points such that the action extends to an $S^3$-action with fixed point. We exhibit various subclasses, characterized by an upper bound for the Euler characteristic and properties of the first Pontrjagin class, which contain only finitely many oriented bordism types in any given dimension. Also we show finiteness results for homotopy complex projective spaces and complete intersections with $S^3$-action as above.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2001-05-01T13:56:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "19L47",
      "55R91",
      "57R75",
      "57S15",
      "58D19"
    ],
    "keywords": [
      "semi-simple group action",
      "fixed point",
      "first pontrjagin class",
      "homotopy complex projective spaces",
      "circle action"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......3176D"
    }
  }
}