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In the Tradition of Thurston II

Geometry and Groups

Ken’ichi Ohshika (Hrsg.), Athanase Papadopoulos (Hrsg.)

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Springer International Publishing img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Geometrie

Beschreibung

The purpose of this volume and of the other volumes in the same series is to provide a collection of surveys that allows the reader to learn the important aspects of William Thurston’s heritage. Thurston’s ideas have altered the course of twentieth century mathematics, and they continue to have a significant influence on succeeding generations of mathematicians. The topics covered in the present volume include com-plex hyperbolic Kleinian groups, Möbius structures, hyperbolic ends, cone 3-manifolds, Thurston’s norm, surgeries in representation varieties, triangulations, spaces of polygo-nal decompositions and of singular flat structures on surfaces, combination theorems in the theories of Kleinian groups, hyperbolic groups and holomorphic dynamics, the dynamics and iteration of rational maps, automatic groups, and the combinatorics of right-angled Artin groups.

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Schlagwörter

surface group representations, triangulations, group actions, topology of 3-manifolds, automatic groups, holomorphic dynamics, complex hyperbolic Kleinian groups, mapping class groups, combination theorems in hyperbolic groups, iteration of rational maps, combination theorems holomorphic dynamics, surgeries in representation varieties, Thurston's norm, hyperbolic geometry, combinatorics of right-angled Artin groups, hyperbolic ends, combination theorems in Kleinian groups, Möbius structures, cone 3-manifolds, interval dynamics