Affine representations of the fundamental group (with an appendix on parabolic representations)

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79551Unitary 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.13 pages, LaTeX2eAlgebraic Geometry32L05; 53C07; 14F35; 14F05Affine representations of the fundamental group (with an appendix on parabolic representations)text