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In the Tradition of Thurston Kenichi Ohshika

In the Tradition of Thurston By Kenichi Ohshika

In the Tradition of Thurston by Kenichi Ohshika


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Summary

At the same time, it is a tribute to Thurston, one of the greatest geometers of all time, whose work extended over many fields in mathematics and who had a unique way of perceiving forms and patterns, and of communicating and writing mathematics.

In the Tradition of Thurston Summary

In the Tradition of Thurston: Geometry and Topology by Kenichi Ohshika

This book consists of 16 surveys on Thurston's work and its later development. The authors are mathematicians who were strongly influenced by Thurston's publications and ideas. The subjects discussed include, among others, knot theory, the topology of 3-manifolds, circle packings, complex projective structures, hyperbolic geometry, Kleinian groups, foliations, mapping class groups, Teichmuller theory, anti-de Sitter geometry, and co-Minkowski geometry.

The book is addressed to researchers and students who want to learn about Thurstons wide-ranging mathematical ideas and their impact. At the same time, it is a tribute to Thurston, one of the greatest geometers of all time, whose work extended over many fields in mathematics and who had a unique way of perceiving forms and patterns, and of communicating and writing mathematics.


About Kenichi Ohshika

Kenichi Ohshika is a professor of mathematics at Gakushuin University, and a professor emeritus at Osaka University. He received his PhD from the University of Tokyo in 1989, and worked at the Tokyo Institute of Technology, the University of Tokyo, and Osaka University before joining Gakushuin University. His interests include Kleinian groups, hyperbolic geometry, Teichmuller theory, and 3-manifolds.

Athanase Papadopoulos is Directeur de Recherche at the French Centre National de la Recherche Scientifique and the University of Strasbourg. He studied at the Ecole Centrale de Paris (engineering diploma in 1983) and at the University of Paris-Sud, Orsay (PhD in mathematics in 1983). He has a large spectrum of interests and has published more than 30 books.



Table of Contents

Preface. (Ken'ichi Ohshika and Athanase Papadopoulos).- Introduction. (Ken'ichi Ohshika and Athanase Papadopoulos).- Chapter 1: A glimpse into Thurston's work. (Ken'ichi Ohshika and AthanasePapadopoulos).- Chapter 2: Thurston's influence on Japanese topologists up to the 1980s.(Ken'ichi Ohshika).- Chapter 3: A survey of the impact of Thurston's work on Knot Theory.(Makoto Sakuma).- Chapter 4: Thurston's theory of 3-manifolds. (Sadayoshi Kojima).- Chapter 5: Combinatorics encoding geometry: The legacy of Bill Thurstonin the story of one theorem. (Philip Bowers).- Chapter 6: On Thurston's parameterization of CP1-structures. (ShinpeiBaba).- Chapter 7: A short proof of an assertion of Thurston concerning convexhulls. (Graham Smith).- Chapter 8: The double limit theorem and its legacy. (Cyril Lecuire).- Chapter 9: Geometry and topology of geometric limits. I. (Ken'ichiOhshika and Teruhiko Soma).- Chapter 10: Laminar groups and 3-manifolds. (Hyungryul Baik andKyeongRo Kim).- Chapter 11: Length functions on currents and applications to dynamicsand counting. (Viveka Erlandsson and Caglar Uyanik).- Chapter 12: Big mapping class groups: an overview. (Javier Aramayonaand Nicholas Vlamis).- Chapter 13: Teichmuller theory, Thurston theory, Extremal length geometryand Complex analysis. (Hideki Miyachi).- Chapter 14: Signatures of monic polynomials. (Norbert A'Campo).- Chapter 15: Anti-de Sitter geometry and Teichmuller theory. (FrancescoBonsante and Andrea Seppi).- Chapter 16: Quasi-Fuchsian co-Minkowski manifolds. (Thierry Barbotand Francois Fillastre).

Additional information

NPB9783030559274
9783030559274
3030559270
In the Tradition of Thurston: Geometry and Topology by Kenichi Ohshika
New
Hardback
Springer Nature Switzerland AG
2020-12-08
713
N/A
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