{
  "id": "math/0512225",
  "version": "v1",
  "published": "2005-12-11T19:50:04.000Z",
  "updated": "2005-12-11T19:50:04.000Z",
  "title": "A TQFT of Intersection Numbers on Moduli Spaces of Admissible Covers",
  "authors": [
    "Renzo Cavalieri"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "We construct a two-level weighted TQFT whose structure coefficents are equivariant intersection numbers on moduli spaces of admissible covers. Such a structure is parallel (and strictly related) to the local Gromov-Witten theory of curves of Bryan-Pandharipande. We compute explicitly the theory using techniques of localization on moduli spaces of admissible covers of a parametrized projective line. The Frobenius Algebras we obtain are one parameter deformations of the class algebra of the symmetric group S_d. In certain special cases we are able to produce explicit closed formulas for such deformations in terms of the representation theory of S_d.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-12-11T19:50:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14N35"
    ],
    "keywords": [
      "moduli spaces",
      "admissible covers",
      "produce explicit closed formulas",
      "equivariant intersection numbers",
      "local gromov-witten theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 700342,
      "adsabs": "2005math.....12225C"
    }
  }
}