ENGLISH

Thurston's Work on Surfaces (MN-48)

By Albert Fathi; François Laudenbach; Valentin Poénaru; Djun Kim; Dan Margalit

Book information

Publisher
Princeton University Press
Year
2021
ISBN
9781400839032
DOI
10.1515/9781400839032
Language
english
Format
PDF
Filesize
2 MB (1642996 bytes)
Series
Mathematical Notes; 48
Pages
272\272
Library
degruyter.com
Time added
2023-08-26 05:07:01

Description

This book provides a detailed exposition of William Thurston's work on surface homeomorphisms, available here for the first time in English. Based on material of Thurston presented at a seminar in Orsay from 1976 to 1977, it covers topics such as the space of measured foliations on a surface, the Thurston compactification of Teichmüller space, the Nielsen-Thurston classification of surface homeomorphisms, and dynamical properties of pseudo-Anosov diffeomorphisms. Thurston never published the complete proofs, so this text is the only resource for many aspects of the theory. Thurston was awarded the prestigious Fields Medal in 1982 as well as many other prizes and honors, and is widely regarded to be one of the major mathematical figures of our time. Today, his important and influential work on surface homeomorphisms is enjoying continued interest in areas ranging from the Poincaré conjecture to topological dynamics and low-dimensional topology. Conveying the extraordinary richness of Thurston's mathematical insight, this elegant and faithful translation from the original French will be an invaluable resource for the next generation of researchers and students.

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