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Ohshika K. In the Tradition of Thurston III. Geometry and Dynamics 2024

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Ohshika K. In the Tradition of Thurston III. Geometry and Dynamics 2024

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Total size: 13.24 MB
Added: 2025-03-10 23:38:56

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Description:

Textbook in PDF format 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. Preface Introduction The Geometry of the Thurston Metric: A Survey Thurston's Metric on the Teichmüller Space of Flat Tori The Anti-de Sitter Proof of Thurston's Earthquake Theorem Homeomorphism Groups of Self-Similar 2-Manifolds Weil–Petersson Teichmüller Theory of Surfaces of Infinite Conformal Type Kleinian Groups and Geometric Function Theory Thurston's Broken Windows Only Theorem Revisited Geometric Structures in Topology, Geometry, Global Analysis and Dynamics Counting Problems for Invariant Point Processes Orbifolds and the Modular Curve Some Footnotes on Thurston's Notes The Geometry and Topology of 3-Manifolds Index