In the Tradition of Thurston II
Geometry and Groups
Buch in deiner Nähe kaufen
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.
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.
Contains comprehensive surveys on some of the most active research topics in mathematics Features articles by well-known researchers in geometry, topology, dynamics and geometric group theory Reveals the state of the art on research in the tradition of Thurston
Autor*in
Ken’ichi Ohshika
Themen in »In the Tradition of Thurston II«
hyperbolic geometry group actions holomorphic dynamics interval dynamics automatic groups mapping class groups surface group representations topology of 3-manifolds complex hyperbolic Kleinian groups Möbius structures hyperbolic ends cone 3-manifolds Thurston's norm surgeries in representation varieties triangulations