{
  "id": "math/0505012",
  "version": "v4",
  "published": "2005-05-01T16:27:39.000Z",
  "updated": "2006-09-08T15:44:32.000Z",
  "title": "Gromov-Witten invariants of P^2-stacks",
  "authors": [
    "Charles Cadman"
  ],
  "comment": "20 pages, to appear in Compos. Math",
  "journal": "Compositio Math. 143 (2007) 495-514",
  "categories": [
    "math.AG"
  ],
  "abstract": "The Gromov-Witten theory of Deligne-Mumford stacks is a recent development, and hardly any computations have been done beyond 3-point genus 0 invariants. This paper provides explicit recursions which, together with some invariants computed by hand, determine all genus 0 invariants of the stack P^2_{D,2}. Here D is a smooth plane curve and P^2_{D,2} is locally isomorphic to the stack quotient [U/(Z/(2))], where U -> V \\subset P^2 is a double cover branched along D \\cap V. The introduction discusses an enumerative application of these invariants.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2006-09-08T15:44:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14N35",
      "14A20"
    ],
    "keywords": [
      "gromov-witten invariants",
      "smooth plane curve",
      "explicit recursions",
      "deligne-mumford stacks",
      "gromov-witten theory"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......5012C"
    }
  }
}