{
  "id": "math/0305345",
  "version": "v1",
  "published": "2003-05-24T11:03:31.000Z",
  "updated": "2003-05-24T11:03:31.000Z",
  "title": "Complete sets of relations in the cohomology rings of moduli spaces of holomorphic bundles and parabolic bundles over a Riemann surface",
  "authors": [
    "Richard Earl",
    "Frances Kirwan"
  ],
  "comment": "52 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "The cohomology ring of the moduli space of stable holomorphic vector bundles of rank n and degree d over a Riemann surface of genus g>1 has a standard set of generators when n and d are coprime. When n=2 the relations between these generators are well understood, and in particular a conjecture of Mumford, that a certain set of relations is a complete set, is known to be true. In this article generalisations are given of Mumford's relations to the cases when n>2 and also when the bundles are parabolic bundles, and these are shown to form complete sets of relations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-05-24T11:03:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H60"
    ],
    "keywords": [
      "moduli space",
      "parabolic bundles",
      "riemann surface",
      "holomorphic bundles",
      "cohomology ring"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 52,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......5345E"
    }
  }
}