,

In the Tradition of Thurston

Geometry and Topology

Specificaties
Paperback, blz. | Engels
Springer International Publishing | 2021
ISBN13: 9783030559304
Rubricering
Springer International Publishing e druk, 2021 9783030559304
€ 156,99
Levertijd ongeveer 9 werkdagen
Gratis verzonden

Samenvatting

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.

Specificaties

ISBN13:9783030559304
Taal:Engels
Bindwijze:paperback
Uitgever:Springer International Publishing

Inhoudsopgave

<p>Preface. (Ken'ichi Ohshika and Athanase Papadopoulos).- Introduction. (Ken'ichi Ohshika and Athanase&nbsp; Papadopoulos).- Chapter 1: A glimpse into Thurston's work. (Ken'ichi Ohshika and Athanase&nbsp;Papadopoulos).- Chapter 2: Thurston's influence on Japanese topologists up to the 1980s.&nbsp;(Ken'ichi Ohshika).- Chapter 3: A survey of the impact of Thurston's work on Knot Theory.&nbsp;(Makoto Sakuma).- Chapter 4: Thurston's theory of 3-manifolds. (Sadayoshi Kojima).- Chapter 5: Combinatorics encoding geometry: The legacy of Bill Thurston&nbsp;in the story of one theorem. (Philip Bowers).- Chapter 6: On Thurston's parameterization of CP1-structures. (Shinpei&nbsp;Baba).- Chapter 7: A short proof of an assertion of Thurston concerning convex&nbsp;hulls. (Graham Smith).- Chapter 8: The double limit theorem and its legacy. (Cyril Lecuire).- Chapter 9: Geometry and topology of geometric limits. I. (Ken'ichi&nbsp;Ohshika and Teruhiko Soma).- Chapter 10: Laminar groups and 3-manifolds.(Hyungryul Baik and&nbsp;KyeongRo Kim).- Chapter 11: Length functions on currents and applications to dynamics&nbsp;and counting. (Viveka Erlandsson and Caglar Uyanik).- Chapter 12: Big mapping class groups: an overview. (Javier Aramayona&nbsp;and Nicholas Vlamis).- Chapter 13: Teichmuller theory, Thurston theory, Extremal length geometry&nbsp;and Complex analysis. (Hideki Miyachi).- Chapter 14: Signatures of monic polynomials. (Norbert A'Campo).- Chapter 15: Anti-de Sitter geometry and Teichmuller theory. (Francesco&nbsp;Bonsante and Andrea Seppi).- Chapter 16: Quasi-Fuchsian co-Minkowski manifolds. (Thierry Barbot&nbsp;and Francois Fillastre).</p>
€ 156,99
Levertijd ongeveer 9 werkdagen
Gratis verzonden

Rubrieken

    Personen

      Trefwoorden

        In the Tradition of Thurston