{
  "id": "math/9912043",
  "version": "v1",
  "published": "1999-12-06T11:57:52.000Z",
  "updated": "1999-12-06T11:57:52.000Z",
  "title": "Affine representations of the fundamental group (with an appendix on parabolic representations)",
  "authors": [
    "Tomas L. Gomez",
    "Francisco Presas"
  ],
  "comment": "13 pages, LaTeX2e",
  "categories": [
    "math.AG"
  ],
  "abstract": "Unitary representations of the fundamental group of a Kahler manifold correspond to polystable vector bundles (with vanishing Chern classes). Semisimple linear representations correspond to polystable Higgs bundles. In this paper we find the objects corresponding to affine representations: the linear part gives a Higgs bundle and the translation part corresponds to an element of a generalized de Rham cohomology.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-12-06T11:57:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32L05",
      "53C07",
      "14F35",
      "14F05"
    ],
    "keywords": [
      "fundamental group",
      "affine representations",
      "parabolic representations",
      "semisimple linear representations correspond",
      "kahler manifold correspond"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999math.....12043G"
    }
  }
}