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Books Year : 2016

Teichmüller Theory and Applications to Geometry, Topology, and Dynamics

Abstract

This volume is the second of four volumes devoted to Teichmüller theory and its applications to geometry, topology, and dynamics. The first volume gave an introduction to Teichmüller theory. Volumes 2 through 4 prove four theorems by William Thurston: The classification of homeomorphisms of surfaces The topological characterization of rational maps The hyperbolization theorem for 3-manifolds that fiber over the circle The hyperbolization theorem for Haken 3-manifolds These theorems are of extraordinary beauty in themselves, and the methods Thurston used to prove them were so novel and displayed such amazing geometric insight that to this day they have barely entered the accepted methods of mathematicians in the field [...]
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Dates and versions

hal-01297628 , version 1 (04-04-2016)

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  • HAL Id : hal-01297628 , version 1

Cite

John H. Hubbard. Teichmüller Theory and Applications to Geometry, Topology, and Dynamics. Matrix Editions, 2, 262 p., 108 color illustrations., 2016, Surface Homeomorphisms and Rational Functions, 978-1-943863-00-6. ⟨hal-01297628⟩
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