Product details:
| ISBN13: | 9783031435010 |
| ISBN10: | 303143501X |
| Binding: | Hardback |
| No. of pages: | 455 pages |
| Size: | 235x155 mm |
| Language: | English |
| Illustrations: | 1 Illustrations, black & white |
| 688 |
Category:
In the Tradition of Thurston III
Geometry and Dynamics
Edition number: 2024
Publisher: Springer
Date of Publication: 20 March 2024
Number of Volumes: 1 pieces, Book
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Short 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 orbifolds.
Long 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.
Table of 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.