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-manifoldsThese theorems are of extraordinary beauty in themselves, and the methods Thurston used to prove them were so novel and displayed such amazinggeometric insight that to this day they have barely entered the accepted methods of mathematicians in the field [...]
Publié le : 2016-04-04
Classification:
Teichmüller theory,
surface homeomorphisms,
rational functions,
[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS],
[MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG]
@article{ISBN: 978-1-943863-00-6,
author = {Hubbard, John H.},
title = {Teichm\"uller Theory and Applications to Geometry, Topology, and Dynamics},
journal = {HAL},
volume = {2016},
number = {0},
year = {2016},
language = {en},
url = {http://dml.mathdoc.fr/item/ISBN: 978-1-943863-00-6}
}
Hubbard, John H. Teichmüller Theory and Applications to Geometry, Topology, and Dynamics. HAL, Tome 2016 (2016) no. 0, . http://gdmltest.u-ga.fr/item/ISBN:%20978-1-943863-00-6/