In the Tradition of Thurston III Geometry and Dynamics 1st Edition by Sabrina Kiszka, Jessica Hastenteufel ISBN 3031435028 9783031435027

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Product details:

ISBN 10: 3031435028

ISBN 13: 9783031435027 

Author: Sabrina Kiszka, Jessica Hastenteufel 

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. The Geometry of the Thurston Metric: A Survey
2. Thurston’s Metric on the Teichmüller Space of Flat Tori
3. The Anti-de Sitter Proof of Thurston’s Earthquake Theorem
4. Homeomorphism Groups of Self-Similar 2-Manifolds
5. Weil–Petersson Teichmüller Theory of Surfaces of Infinite Conformal Type
6. Kleinian Groups and Geometric Function Theory
7. Thurston’s Broken Windows Only Theorem Revisited
8. Geometric Structures in Topology, Geometry, Global Analysis and Dynamics
9. Counting Problems for Invariant Point Processes
10. Orbifolds and the Modular Curve
11. Some Footnotes on Thurston’s Notes *The Geometry and Topology of 3-Manifolds*

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Tags: Sabrina Kiszka, Jessica Hastenteufel, Thurston, Geometry, Dynamics