Harmonic bundles on quasi-compact Kaehler manifolds

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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.
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Algebraic Geometry, Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/62074

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0108166
 http://arxiv.org/abs/math/0108166

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arXiv