Overview
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
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (16 chapters)
-
Front Matter
-
Back Matter
Keywords
About this book
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.
Editors and Affiliations
About the editors
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.
Bibliographic Information
Book Title: In the Tradition of Thurston
Book Subtitle: Geometry and Topology
Editors: Ken’ichi Ohshika, Athanase Papadopoulos
DOI: https://doi.org/10.1007/978-3-030-55928-1
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2020
Hardcover ISBN: 978-3-030-55927-4Published: 08 December 2020
Softcover ISBN: 978-3-030-55930-4Published: 09 December 2021
eBook ISBN: 978-3-030-55928-1Published: 07 December 2020
Edition Number: 1
Number of Pages: XXI, 713
Number of Illustrations: 44 b/w illustrations, 37 illustrations in colour