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Contents
Contents
T
EICHMÜLLER
S
PACES
Contents
S
OME PRELIMINARY RESULTS
Automorphisms of certain domains in the Riemann sphere
Möbius transformations
Kleinian and Fuchsian groups
Hyperbolic metrics
Quasiconformal mappings
Beltrami differentials for groups
Automorphic forms and quadratic differentials on surfaces
Nielsen's theorem
T
EICHMÜLLER
T
HEORY
The Riemann Mapping Theorem and the Uniformization Theorem
Abel's theorem and the uniformization of tori
Teichmüller spaces of Riemann surfaces, moduli spaces and modular groups
Teichmüller spaces of Fuchsian groups
Fricke coordinates
Teichmüller's theorem
Teichmüller's lemma and the complex structure of Teichmüller spaces
Bers embedding and the Bers boundary of Teichmüller space
Royden's Theorems
The Patterson and Bers-Greenberg Isomorphism Theorems
The Weil-Petersson metric
T
HURSTON'S THEORY
Thurston's approach to Teichmüller spaces and diffeomorphisms of surfaces
Bers' and Thurston's compactifications of Teichmüller space
Bers' approach to Thurston's classification of diffeomorphisms of surfaces
S
OME RESULTS ON THE
W
EIL-
P
ETERSSON METRIC OF
T
EICHMÜLLER SPACES
The pants and curve complexes of a surface
The pants complex and Teichmüller space are quasi-isometric
Linear growth of infinite order mapping class group elements
Isometries of the Weil-Petersson metric
Gromov-hyperbolicity
The Weil-Petersson visual sphere
3-manifolds and the Weil-Petersson distance
Bibliography
About this document ...
Pablo Ares Gastesi 2005-08-31
