English

Classification Theorem for a Class of Flat Connections and Representations of Kahler Groups

Differential Geometry 2007-05-23 v1 Representation Theory

Abstract

The paper presents a classification theorem for the class of flat connections with triangular (0,1)-components on a topologically trivial complex vector bundle over a compact Kahler manifold. As a consequence we obtain several results on the structure of K\"{a}hler groups, i.e., the fundamental groups of compact Kahler manifolds.

Keywords

Cite

@article{arxiv.math/9902074,
  title  = {Classification Theorem for a Class of Flat Connections and Representations of Kahler Groups},
  author = {Alexander Brudnyi},
  journal= {arXiv preprint arXiv:math/9902074},
  year   = {2007}
}