{
  "id": "1005.0725",
  "version": "v4",
  "published": "2010-05-05T12:03:26.000Z",
  "updated": "2012-01-05T20:18:03.000Z",
  "title": "The Chen-Ruan cohomology of moduli of curves of genus 2 with marked points",
  "authors": [
    "Nicola Pagani"
  ],
  "comment": "48 pages, 3 Figures. Final version to appear in Advances in Mathematics",
  "journal": "Advances in Mathematics 229 (2012), pp. 1643-1687",
  "doi": "10.1016/j.aim.2011.12.017",
  "categories": [
    "math.AG",
    "math.AT"
  ],
  "abstract": "In this work we describe the Chen-Ruan cohomology of the moduli stacks of smooth and stable genus 2 pointed curves, and its algebraic counterpart: the stringy Chow ring. In the first half of the paper we compute the additive structure of the Chen-Ruan cohomology ring for the moduli stack of stable pointed genus 2 curves, describing it as a rationally graded vector space. In the second part we give generators for the even Chen--Ruan cohomology ring as an algebra on the ordinary cohomology.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2012-01-05T20:18:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H10",
      "14N35"
    ],
    "keywords": [
      "marked points",
      "moduli stack",
      "chen-ruan cohomology ring",
      "rationally graded vector space",
      "algebraic counterpart"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Adv. Math."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 48,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1005.0725P"
    }
  }
}