Fundamental Groups of Compact Kähler Manifolds

1996/03/12 by Jaume Amorós, M. Burger, Kevin Corlette +2 · 6 citations
Mathematics · #Geometry and complex manifolds #Algebraic Geometry and Number Theory #Geometric Analysis and Curvature Flows #Hodge theory #Mathematics #Pure mathematics #Abelian group #Group (periodic table) #Kähler manifold #Harmonic #Cohomology #Bibliography #Fundamental group #Index (typography) #Mathematical analysis #Algebra over a field #Physics #Quantum mechanics #Computer science

paper · doi:10.1090/surv/044

openalex publication_date 1996/03/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31

Abstract

Introduction Fibering Kahler manifolds and Kahler groups The de Rham fundamental group L²-cohomology of Kahler groups Existence theorems for harmonic maps Applications of harmonic maps Non-Abelian Hodge theory Positive results for infinite groups Pro group theory (Appendix A) A glossary of Hodge theory (Appendix B) Bibliography Index.

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• Hyperbolic geometry and non-Kähler manifolds with trivial canonical bundle
• On representation varieties of Artin groups, projective arrangements and the fundamental groups of smooth complex algebraic varieties
• Kähler manifold [wikipedia]