{
  "id": "math/0605535",
  "version": "v2",
  "published": "2006-05-18T22:29:12.000Z",
  "updated": "2006-10-05T12:23:49.000Z",
  "title": "Pseudocycles and Integral Homology",
  "authors": [
    "Aleksey Zinger"
  ],
  "comment": "28 pages, 2 figures; a long technical construction has been simplified",
  "categories": [
    "math.AT",
    "math.SG"
  ],
  "abstract": "We describe a natural isomorphism between the set of equivalence classes of pseudocycles and the integral homology groups of a smooth manifold. Our arguments generalize to settings well-suited for applications in enumerative algebraic geometry and for construction of the virtual fundamental class in the Gromov-Witten theory.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-10-05T12:23:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55N99",
      "57R95"
    ],
    "keywords": [
      "pseudocycles",
      "integral homology groups",
      "virtual fundamental class",
      "natural isomorphism",
      "equivalence classes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......5535Z"
    }
  }
}