Handbook of Teichmüller Theory, Volume I


Book details

Introduction to Teichmüller theory, old and new
Athanase Papadopoulos
pp. 1–30
Abstract | Full-Text PDF (651 KB)

Harmonic maps and Teichmüller theory
Georgios D. Daskalopoulos and Richard A. Wentworth
pp. 33–109
Abstract | Full-Text PDF (177 KB)

On Teichmüller’s metric and Thurston’s asymmetric metric on Teichmüller space
Athanase Papadopoulos and Guillaume Théret
pp. 111–204
Abstract | Full-Text PDF (962 KB)

Surfaces, circles, and solenoids
Robert C. Penner
pp. 205–221
Abstract | Full-Text PDF (168 KB)

About the embedding of Teichmüller space in the space of geodesic Hölder distributions
Jean-Pierre Otal
pp. 223–248
Abstract | Full-Text PDF (266 KB)

Teichmüller spaces, triangle groups and Grothendieck dessins
William J. Harvey
pp. 249–292
Abstract | Full-Text PDF (354 KB)

On the boundary of Teichmüller disks in Teichmüller and in Schottky space
Frank Herrlich and Gabriela Schmithüsen
pp. 293–349
Abstract | Full-Text PDF (541 KB)

Introduction to mapping class groups of surfaces and related groups
Shigeyuki Morita
pp. 353–386
Abstract | Full-Text PDF (278 KB)

Geometric survey of subgroups of mapping class groups
John Loftin
pp. 387–410
Abstract | Full-Text PDF (234 KB)

Deformations of Kleinian groups
Albert Marden
pp. 411–446
Abstract | Full-Text PDF (295 KB)

Geometry of the complex of curves and of Teichmüller space
Ursula Hamenstädt
pp. 447–467
Abstract | Full-Text PDF (201 KB)

Parameters for generalized Teichmüller spaces
Charalampos Charitos and Ioannis Papadoperakis
pp. 471–506
Abstract | Full-Text PDF (2049 KB)

On the moduli space of singular euclidean surfaces
Marc Troyanov
pp. 507–540
Abstract | Full-Text PDF (357 KB)

Discrete Riemann surfaces
Christian Mercat
pp. 541–575
Abstract | Full-Text PDF (381 KB)

On quantizing Teichmüller and Thurston theories
Leonid Chekhov and Robert C. Penner
pp. 579–645
Abstract | Full-Text PDF (1313 KB)

Dual Teichmüller and lamination spaces
Vladimir V. Fock and Alexander Goncharov
pp. 647–684
Abstract | Full-Text PDF (290 KB)

An analog of a modular functor from quantized Teichmüller theory
Jörg Teschner
pp. 685–760
Abstract | Full-Text PDF (703 KB)

On quantum moduli space of flat PSL2(ℝ)-connections on a punctured surface
Rinat Kashaev
pp. 761–782
Abstract | Full-Text PDF (215 KB)

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