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

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
13 pages, LaTeX2e

Keywords

Algebraic Geometry, 32L05; 53C07; 14F35; 14F05

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/79551

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9912043
 http://arxiv.org/abs/math/9912043

Collections

arXiv