Harmonic bundles on quasi-compact Kaehler manifolds
Algebraic Geometry
2007-05-23 v3 Differential Geometry
Abstract
We define the C^*-action on moduli spaces of reductive representations of fundamental groups of quasi-compact Kaehler manifolds by solving Hermitian-Yang-Mills equation. As applications in algebraic geometry we show a non-abelian Hodge (p,q)-type theorem for families of quasi-projective manifolds. We also prove that any discrete sub group of a Lie group of rank >1 that is not of Hodge type can't be the fundamental group of a quasi-compact Kaehler manifold.
Keywords
Cite
@article{arxiv.math/0108166,
title = {Harmonic bundles on quasi-compact Kaehler manifolds},
author = {Juergen Jost and Jiayu Li and Kang Zuo},
journal= {arXiv preprint arXiv:math/0108166},
year = {2007}
}
Comments
This paper has been withdrawn