{
  "id": "math/0104207",
  "version": "v2",
  "published": "2001-04-23T16:55:51.000Z",
  "updated": "2001-04-30T14:42:57.000Z",
  "title": "Orbifold cohomology for global quotients",
  "authors": [
    "Barbara Fantechi",
    "Lothar Goettsche"
  ],
  "comment": "We correct a small sign error and add some references. 22 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "For an orbifold X which is the quotient of a manifold Y by a finite group G we construct a noncommutative ring with an action of G such that the orbifold cohomology of X as defined in math.AG/0004129 by Chen and Ruan is the G invariant part. In the case thar Y is S^n for a surface S with trivial canonical class we prove that (a small modification of) the orbifold cohomology of X is naturally isomorphic to the cohomology ring of the Hilbert scheme of n points on S computed in math.AG/0012166 by Lehn and Sorger.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2001-04-30T14:42:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "orbifold cohomology",
      "global quotients",
      "hilbert scheme",
      "invariant part",
      "finite group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......4207F"
    }
  }
}