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Thurston's work on surfaces

Author: Albert Fathi; François Laudenbach; Valentin Poenaru
Publisher: Princeton : Princeton University Press, ©2012.
Series: Mathematical notes (Princeton University Press), 48.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"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 Teichmller space, the Nielsen-Thurston classification of surface homeomorphisms, and  Read more...
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Document Type: Book
All Authors / Contributors: Albert Fathi; François Laudenbach; Valentin Poenaru
ISBN: 9780691147352 0691147353
OCLC Number: 687685551
Language Note: Translated from the French.
Description: xiii, 255 pages : illustrations ; 24 cm.
Contents: An overview of Thurston's on surfaces --
Some reminders about the theory of surface diffeomorphisms --
Review of hyperbolic geometry in dimension 2 --
The space of simple closed curves in a surface --
A pair of pants decompositions of a surface --
Spines of surfaces --
The classification of measured foliations --
Explicit formulas for measured foliations --
Teichmuller space --
Thurston compactification of Teichmuller space --
Estimates of hyperbolic distances --
The classification of surface diffeomorphisms --
Thurston's theory for surface with boundary --
Uniqueness for pseudo-Anosov diffeorphisms --
Constructing Pseudo-Anosov diffeomorphisms --
Fibrations over s1 with Pseudp-Anosov monodromy --
Presentation of the mapping class group.
Series Title: Mathematical notes (Princeton University Press), 48.
Other Titles: Travaux de Thurston sur les surfaces.
Responsibility: [edited by] Albert Fathi, François Laudenbach, and Valentin Poénaru ; translated by Djun Kim and Dan Margalit.

Abstract:

Based on material of William Thurston presented at a seminar in Orsay from 1976 to 1977, this title covers topics such as the space of measured foliations on a surface, the Thurston compactification  Read more...

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"[T]he translation is a most welcome addition for those who use FLP as a reference... It is the reviewer's hope that this new version will also introduce Thurston's brilliant insights and imagination Read more...

 
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