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
Teichmuller 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 Poincare
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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