In the Tradition of Thurston
Geometry and Topology
Editors: Ohshika, Ken’ichi, Papadopoulos, Athanase (Eds.)
Free Preview- Presents a series of surveys on topological and geometric subjects that originate in the work of William Thurston, one of the greatest mathematicians of modern times
- Written by mathematicians who are at the forefront of research in their areas
- Addressed to both students and researchers, each survey constitutes an important reference on its research topic
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- About this book
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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, Teichmüller theory, anti-de Sitter geometry, and co-Minkowski geometry.
The book is addressed to researchers and students who want to learn about Thurston’s 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 the authors
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Ken’ichi 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, Teichmüller 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 (16 chapters)
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A Glimpse into Thurston’s Work
Pages 1-58
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Thurston’s Influence on Japanese Topologists up to the 1980s
Pages 59-65
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A Survey of the Impact of Thurston’s Work on Knot Theory
Pages 67-160
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Thurston’s Theory of 3-Manifolds
Pages 161-171
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Combinatorics Encoding Geometry: The Legacy of Bill Thurston in the Story of One Theorem
Pages 173-239
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Table of contents (16 chapters)
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- In the Tradition of Thurston
- Book Subtitle
- Geometry and Topology
- Editors
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- Ken’ichi Ohshika
- Athanase Papadopoulos
- Copyright
- 2020
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer Nature Switzerland AG
- eBook ISBN
- 978-3-030-55928-1
- DOI
- 10.1007/978-3-030-55928-1
- Hardcover ISBN
- 978-3-030-55927-4
- Edition Number
- 1
- Number of Pages
- XXI, 713
- Number of Illustrations
- 44 b/w illustrations, 37 illustrations in colour
- Topics
