In the Tradition of Thurston

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.

• 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 Athanase Papadopoulos).- 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 Thurston in the story of one theorem. (Philip Bowers).- Chapter 6: On Thurston's parameterization of CP1-structures. (Shinpei Baba).- Chapter 7: A short proof of an assertion of Thurston concerning convex 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 Ohshika and Teruhiko Soma).- Chapter 10: Laminar groups and 3-manifolds.(Hyungryul Baik and KyeongRo Kim).- Chapter 11: Length functions on currents and applications to dynamics and counting. (Viveka Erlandsson and Caglar Uyanik).- Chapter 12: Big mapping class groups: an overview. (Javier Aramayona and Nicholas Vlamis).- Chapter 13: Teichmuller theory, Thurston theory, Extremal length geometry and Complex analysis. (Hideki Miyachi).- Chapter 14: Signatures of monic polynomials. (Norbert A'Campo).- Chapter 15: Anti-de Sitter geometry and Teichmuller theory. (Francesco Bonsante and Andrea Seppi).- Chapter 16: Quasi-Fuchsian co-Minkowski manifolds. (Thierry Barbot and Francois Fillastre).