{
  "id": "0912.0584",
  "version": "v2",
  "published": "2009-12-03T18:42:03.000Z",
  "updated": "2010-04-11T22:04:09.000Z",
  "title": "Descendent integrals and tautological rings of moduli spaces of curves",
  "authors": [
    "Kefeng Liu",
    "Hao Xu"
  ],
  "comment": "31 pages, to appear in proceedings of the conference \"Geometric analysis: Present and Future\" held at Harvard in August 27-Sept 1, 2008",
  "journal": "pp. 137-172, Geometry and Analysis Vol. 2, Adv. Lect. Math (ALM) 18, 2010",
  "categories": [
    "math.AG",
    "math-ph",
    "math.MP"
  ],
  "abstract": "The main objective of this paper is to give a summary of our recent work on recursion formulae for intersection numbers on moduli spaces of curves and their applications. We also present a conjectural relation between tautological rings and the mock theta function.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-04-11T22:04:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "moduli spaces",
      "tautological rings",
      "descendent integrals",
      "mock theta function",
      "recursion formulae"
    ],
    "tags": [
      "conference paper",
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0912.0584L"
    }
  }
}