{
  "id": "0905.2258",
  "version": "v1",
  "published": "2009-05-14T06:23:56.000Z",
  "updated": "2009-05-14T06:23:56.000Z",
  "title": "Gromov-Witten theory of product stacks",
  "authors": [
    "Elena Andreini",
    "Yunfeng Jiang",
    "Hsian-Hua Tseng"
  ],
  "comment": "38 pages",
  "categories": [
    "math.AG",
    "math.SG"
  ],
  "abstract": "Let $\\mathcal{X}_1$ and $\\mathcal{X}_2$ be smooth proper Deligne-Mumford stacks with projective coarse moduli spaces. We prove a formula for orbifold Gromov-Witten invariants of the product stack $\\mathcal{X}_1\\times \\mathcal{X}_2$ in terms of Gromov-Witten invariants of the factors $\\mathcal{X}_1$ and $\\mathcal{X}_2$. As an application, we deduce a decomposition result for Gromov-Witten theory of trivial gerbes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-05-14T06:23:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14N35"
    ],
    "keywords": [
      "gromov-witten theory",
      "product stack",
      "smooth proper deligne-mumford stacks",
      "projective coarse moduli spaces",
      "orbifold gromov-witten invariants"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 38,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0905.2258A"
    }
  }
}