Structure of Kahler groups, I: second cohomology

1999/03/02 by Alexander Reznikov, Reznikov, Alexander
Mathematics · #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds #math.DG

paper · pdf · doi:10.48550/arxiv.math/9903023

plain TEX

arxiv created 1999/03/02 · openalex publication_date 1999/03/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove the Carlson-Toledo conjecture (for all Kahler groups which do not have property T of Kazhdan).We deduce a conjecture of Goldman-Donaldson for all 3-manifold groups which are rich in the sense of [Re2].

Citations

• The Self-Duality Equations on a Riemann Surface
• Harmonic maps into singular spaces and p -adic superrigidity for lattices in groups of rank one
• Moduli of representations of the fundamental group of a smooth projective variety II

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