In the Tradition of Thurston III
Geometry and Dynamics
Kiadás sorszáma: 2024
Kiadó: Springer
Megjelenés dátuma: 2024. március 20.
Kötetek száma: 1 pieces, Book
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Kiadói listaár:
EUR 139.09
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A termék adatai:
| ISBN13: | 9783031435010 |
| ISBN10: | 303143501X |
| Kötéstípus: | Keménykötés |
| Terjedelem: | 455 oldal |
| Méret: | 235x155 mm |
| Nyelv: | angol |
| Illusztrációk: | 1 Illustrations, black & white |
| 697 |
Témakör:
Rövid leírás:
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.
Hosszú leírás:
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.
Tartalomjegyzék:
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.