Description

Book Synopsis
An exposition of what is known about the fundamental groups of compact Kahler manifolds. It collects together various results obtained over the years which aim to characterise those infinite groups which can arise as fundamental groups of compact Kahler manifolds. Most of these results are negative ones, saying which groups do not arise.

Table of Contents
Introduction Fibering Kahler manifolds and Kahler groups The de Rham fundamental group $L^2$-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.

Fundamental Groups of Compact Kahler Manifolds

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A Paperback by Jaume Amoros, Marc Burger, K. Corlette

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    View other formats and editions of Fundamental Groups of Compact Kahler Manifolds by Jaume Amoros

    Publisher: MP-AMM American Mathematical
    Publication Date: 3/30/1996 12:00:00 AM
    ISBN13: 9780821804988, 978-0821804988
    ISBN10: 0821804987
    Also in:
    Calculus and mathematical analysis Differential and Riemannian geometry

    Description

    Book Synopsis
    An exposition of what is known about the fundamental groups of compact Kahler manifolds. It collects together various results obtained over the years which aim to characterise those infinite groups which can arise as fundamental groups of compact Kahler manifolds. Most of these results are negative ones, saying which groups do not arise.

    Table of Contents
    Introduction Fibering Kahler manifolds and Kahler groups The de Rham fundamental group $L^2$-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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