Handbook of Teichmüller Theory, Volume IV


Book details

Introduction to Teichmüller theory, old and new, IV
Athanase Papadopoulos
pp. 1–39
Abstract | Full-Text PDF (261 KB)

Local and global aspects of Weil–Petersson geometry
Sumio Yamada
pp. 43–111
Abstract | Full-Text PDF (511 KB)

Simple closed geodesics and the study of Teichmüller spaces
Hugo Parlier
pp. 113–134
Abstract | Full-Text PDF (298 KB)

Curve complexes versus Tits buildings: structures and applications
Lizhen Ji
pp. 135–196
Abstract | Full-Text PDF (475 KB)

Extremal length geometry
Hideki Miyachi
pp. 197–234
Abstract | Full-Text PDF (409 KB)

Compactifications of Teichmüller spaces
Ken’ichi Ohshika
pp. 235–254
Abstract | Full-Text PDF (198 KB)

Arc geometry and algebra: foliations, moduli spaces, string topology and field theory
Ralph M. Kaufmann
pp. 255–325
Abstract | Full-Text PDF (887 KB)

The horoboundary and isometry group of Thurston’s Lipschitz metric
Cormac Walsh
pp. 327–353
Abstract | Full-Text PDF (250 KB)

The horofunction compactification of the Teichmüller metric
Lixin Liu and Weixu Su
pp. 355–374
Abstract | Full-Text PDF (203 KB)

Lipschitz algebras and compactifications of Teichmüller space
Hideki Miyachi
pp. 375–413
Abstract | Full-Text PDF (373 KB)

On the geodesic geometry of infinite-dimensional Teichmüller spaces
Zhong Li
pp. 415–437
Abstract | Full-Text PDF (221 KB)

Holomorphic families of Riemann surfaces and monodromy
Hiroshige Shiga
pp. 439–458
Abstract | Full-Text PDF (202 KB)

The deformation of flat affine structures on the two-torus
Oliver Baues
pp. 461–537
Abstract | Full-Text PDF (1892 KB)

Higher Teichmüller spaces: from SL(2,$\mathbb{R}$) to other Lie groups
Marc Burger, Alessandra Iozzi and Anna Wienhard
pp. 539–618
Abstract | Full-Text PDF (588 KB)

The theory of quasiconformal mappings in higher dimensions, I
Gaven J. Martin
pp. 619–677
Abstract | Full-Text PDF (412 KB)

Infinite-dimensional Teichmüller spaces and modular groups
Katsuhiko Matsuzaki
pp. 681–716
Abstract | Full-Text PDF (280 KB)

Teichmüller spaces and holomorphic dynamics
Xavier Buff, Guizhen Cui and Lei Tan
pp. 717–756
Abstract | Full-Text PDF (388 KB)

A survey of quantum Teichmüller space and Kashaev algebra
Ren Guo
pp. 759–784
Abstract | Full-Text PDF (335 KB)

Variable Riemann surfaces
Oswald Teichmüller
pp. 787–803
Abstract | Full-Text PDF (160 KB)

A commentary on Teichmüller’s paper Veränderliche Riemannsche Flächen
Annette A’Campo-Neuen, Norbert A’Campo, Lizhen Ji and Athanase Papadopoulos
pp. 787–814
Abstract | Full-Text PDF (149 KB)

BACK TO TOP