In the Tradition of Thurston III : Geometry and Dynamics

Ohshika, Ken'ichi (EDT)/ Papadopoulos, Athanase (EDT)

Springer International Publishing AG（2025/03発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 455 p.
• 言語 ENG
• 商品コード 9783031435041

Full Description

William 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 purpose of the present volume and of the other volumes in the same series is to provide a collection of articles that allows the reader to learn the important aspects of Thurston's heritage. The topics covered in this volume include Kleinian groups, holomorphic motions, earthquakes from the Anti-de Sitter point of view, the Thurston  and Weil-Petersson metrics on Teichmüller space, 3-manifolds, geometric structures, dynamics on surfaces, homeomorphism groups of 2-manifolds and the theory of orbifolds.

Contents

1 Ken'ichi Ohshika and Athanase Papadopoulos: Introduction.- 2 Huiping Pan and Weixu Su: The geometry of the Thurston metric: a survey.- 3 Binbin Xu: Thurston's metric on the Teichmüller space of flat tori.- 4 Farid Diaf and Andrea Seppi: The Anti-de Sitter proof of Thurston's earthquake theorem.- 5 Nicholas Vlamis: Homeomorphism groups of self-similar 2-manifolds.- 6 Eric Schippers and Wolfgang Staubach: Weil-Petersson Teichmüller theory of surfaces of infinite conformal type.- 7 Hiroshige Shiga and Toshiyuki Sugawa: Kleinian groups and geometric function theory.- 8 Ken'ichi Ohshika: Thurston's broken windows only theorem revisited.- 9 Christoforos Neofytidis: Geometric structures in Topology, Geometry, Global Analysis and Dynamics.- 10 Jayadev Athreya: Counting problems for invariant point processes.- 11 Juan Martin Pérez and Florent Schaffhauser: Orbifolds and the modular curve.- 12 Athanase Papadopoulos: On Thurston's notes on the Geometry and Topology of 3-manifolds.