Thurston's work on surfaces /

"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 surf...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Fathi, Albert, Laudenbach, François, Poenaru, Valentin
Formato: Electrónico eBook
Idioma:Inglés
Francés
Publicado: Princeton : Princeton University Press, c2012.
Colección:Mathematical notes (Princeton University Press) ; 48.
Temas:
Homeomorphisms.
Surfaces.
Dynamics.
Homéomorphismes.
Surfaces (Mathématiques)
Dynamique.
MATHEMATICS / Advanced.
MATHEMATICS / Topology.
"exposition.
Analytic Theory.
Arational foliations.
Automorphisms.
Baire category theorem.
Bernoulli process.
Birectangles.
Claim.
Continuity.
Dehn twists.
Good atlas.
Jordan curve.
Marked functions.
Markov partitions.
Mathematical Society.
Perron-Frobenius theorem.
Riemannian manifold.
Surjectivity.
Thurston's theorem.
Topology.
Uniqueness.
Whitehead operations.
affine structure.
almost minimal.
braid group.
canonical coordinates.
canonical models.
ergodic map.
homeomorphism.
homogeneous.
homotopic.
hyperbolic geometry.
integers.
irreducible.
isometric isotopy.
lemma.
multiplication by scalars.
one-holed torus.
pants decomposition.
pants seam.
pseudo-Anosov diffeomorphism.
quasitransverse curves.
ramified cover.
small loop.
spectral theorem.
strict conjugacy".
suspension.
total variation.
truncated hexagon.
zeta function.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.

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