前辅文
 Chapter 1 Introduction
  1.Kahler geometry
  2.Kahler and non-Kahler groups
  3.Fundamental groups of compact complex surfaces
  4.Complex symplectic non-Kahler manifolds
 Chapter 2 Fibering Kahler manifolds and Kahler groups
  1.The fibration problem
  2.The Albanese map and free Abelian representations
  3.Fibering over Riemann surfaces
  4.Fibering compact complex surfaces
 Chapter 3 The de Rham fundamental group
  1.The de Rham fundamental group and the 1-minimal model
  2.Formality of compact Kahler manifolds
  3.Applications to the fundamental group and examples
  4.The Albanese map and the de Rham fundamental group
  5.Non-fibered Kahler groups
  6.Mixed Hodge structures on the de Rham fundamental group
 Chapter 4 L2-cohomology of Kahler groups
  1.Introduction
  2.Simplicial L2-cohomology and ends
  3.de Rham L2-cohomology
  4.Fibering Kahler manifolds over D2
  5.Fibering Kahler manifolds over Riemann surfaces
 Chapter 5 Existence theorems for harmonic maps
  1.Definitions
  2.Hartman's uniqueness theorem
  3.The Eells-Sampson theorem
  4.Equivariant harmonic maps
 Chapter 6. Applications of harmonic maps
  1.Existence of pluriharmonic maps
  2.First applications
  3.Period domains
  4.The factorisation theorem
  5.Non-linear groups
  6.Harmonic maps to trees
 Chapter 7 Non-Abelian Hodge theory
  1.Basic concepts
  2.Yang-Mills equations and the C*-action on Higgs bundles
  3.Hyperkahler structures and complete integrability
  4.Applications
 Chapter 8 Positive results for infinite groups
  1.Introduction
  2.The first construction
  3.A Lefschetz theorem for smooth open varieties
  4.The general construction
  5.Non-residually finite Kahler groups
 Appendix A. Pro group theory
  1.Definitions of group completions
  2.Nilpotent completions
  3.Comparison of nilpotent completions
 Appendix B. A glossary of Hodge theory
 Bibliography
 Index