An introduction to the state-of-the-art in the study of K鄣ler groups
This book gives an authoritative and up-to-date introduction to the study of fundamental groups of compact K鄣ler manifolds, known as K鄣ler groups. Approaching the subject from the perspective of a geometric group theorist, Pierre Py equips readers with the necessary background in both geometric group theory and K鄣ler geometry, covering topics such as the actions of K鄣ler groups on spaces of nonpositive curvature, the large-scale geometry of infinite covering spaces of compact K鄣ler manifolds, and the topology of level sets of pluriharmonic functions. Presenting the most important results from the past three decades, the book provides graduate students and researchers with detailed original proofs of several central theorems, including Gromov and Schoen's description of K鄣ler group actions on trees; the study of solvable quotients of K鄣ler groups following the works of Arapura, Beauville, Campana, Delzant, and Nori; and Napier and Ramachandran's work characterizing covering spaces of compact K鄣ler manifolds having many ends. It also describes without proof many of the recent breakthroughs in the field. Lectures on K鄣ler Groups also gives, in eight appendixes, detailed introductions to such topics as the study of ends of groups and spaces, groups acting on trees and Hilbert spaces, potential theory, and L2 cohomology on Riemannian manifolds.外文書商品之書封,為出版社提供之樣本。實際出貨商品,以出版社所提供之現有版本為主。部份書籍,因出版社供應狀況特殊,匯率將依實際狀況做調整。
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