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Harmonic bundles on quasi-compact Kaehler manifolds | Juergen Jost
; Jiayu Li
; Kang Zuo
; | Date: |
24 Aug 2001 | Subject: | Algebraic Geometry; Differential Geometry | math.AG math.DG | 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. | Source: | arXiv, math.AG/0108166 | Services: | Forum | Review | PDF | Favorites |
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