{
  "id": "math/0601573",
  "version": "v2",
  "published": "2006-01-24T05:29:31.000Z",
  "updated": "2006-06-14T16:38:26.000Z",
  "title": "The action of S_n on the cohomology of M_{0,n}(R)",
  "authors": [
    "Eric M. Rains"
  ],
  "comment": "17 pages AMSLaTeX",
  "categories": [
    "math.AT",
    "math.CO"
  ],
  "abstract": "In recent work (math/0507514) by Etingof, Henriques, Kamnitzer, and the author, a presentation and explicit basis was given for the rational cohomology of the real locus $\\bar{M_{0,n}}(\\RR)$ of the moduli space of stable genus 0 curves with $n$ marked points. We determine the graded character of the action of $S_n$ on this space (induced by permutations of the marked points), both in the form of a plethystic formula for the cycle index, and as an explicit product formula for the value of the character on a given cycle type.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-06-14T16:38:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "marked points",
      "explicit product formula",
      "real locus",
      "moduli space",
      "cycle type"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......1573R"
    }
  }
}