In the Tradition of Thurston III : Geometry and Dynamics / edited by Ken’ichi Ohshika, Athanase Papadopoulos.

Format:

Book

Contributor:

Papadopoulos, Athanase, editor.

Ohshika, Ken'ichi, editor.

Language:

English

Subjects (All):

Geometry.

Dynamics.

Dynamical Systems.

Local Subjects:

Geometry.

Dynamical Systems.

Physical Description:

1 online resource (456 pages)

Edition:

1st ed. 2024.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2024.

Summary:

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 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. .

ISBN:

9783031435027

3031435028