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OverviewThis book is an exposition of what is currently known about the fundamental groups of compact Kahler manifolds. This class of groups contains all finite groups and is strictly smaller than the class of all finitely presentable groups. For the first time ever, this book collects together all the results obtained in the last few years which aim to characterize those infinite groups which can arise as fundamental groups of compact Kahler manifolds. Most of these results are negative ones, saying which groups don not arise. The methods and techniques used form an attractive mix of topology, differential and algebraic geometry, and complex analysis. The book would be useful to researchers and graduate students interested in any of these areas, and it could be used as a textbook for an advanced graduate course. One of its outstanding features is a large number of concrete examples. The book contains a number of new results and examples which have not appeared elsewhere, as well as discussions of some important open questions in the field. Full Product DetailsAuthor: Jaume Amoros , Marc Burger , K. Corlette , D. KotschickPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: v. 44 Weight: 0.285kg ISBN: 9780821804988ISBN 10: 0821804987 Pages: 140 Publication Date: 30 March 1996 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsIntroduction 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.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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