Handbook of Teichmüller Theory. Volume VI / Athanase Papadopoulos, editor.
2016
QA337 .H36 2016
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Title
Handbook of Teichmüller Theory. Volume VI / Athanase Papadopoulos, editor.
ISBN
9783037196618 electronic book
3037196610 electronic book
3037196610 electronic book
Published
Zürich, Switzerland : European Mathematical Society Publishing House, ©2016.
Language
English
Description
1 online resource
Other Standard Identifiers
10.4171/161 doi
Call Number
QA337 .H36 2016
System Control No.
(OCoLC)958277714
Summary
This volume is the sixth in a series dedicated to Teichmüller theory in a broad sense, including various moduli and deformation spaces, and the study of mapping class groups. It is divided into five parts: Part A: The metric and the analytic theory. Part B: The group theory. Part C: Representation theory and generalized structures. Part D: The Grothendieck-Teichmüller theory. Part D: Sources. The topics surveyed include Grothendieck's construction of the analytic structure of Teichmüller space, identities on the geodesic length spectrum of hyperbolic surfaces (including Mirzakhani's application to the computation of Weil-Petersson volumes), moduli spaces of configurations spaces, the Teichmüller tower with the action of the Galois group on dessins d'enfants, and several others actions related to surfaces. The last part contains three papers by Teichmüller, translated into English with mathematical commentaries, and a document that contains H. Grötzsch's comments on Teichmüller's famous paper Extremale quasikonforme Abbildungen und quadratische Differentiale. The handbook is addressed to researchers and to graduate students.
Bibliography, etc. Note
Includes bibliographical references and index.
Formatted Contents Note
Introduction to Teichmüller theory, old and new, VI / Athanase Papadopoulos
Alexander Grothendieck / Valentin Poenaru
On Grothendieck's construction of Teichmüller space / Norbert A'Campo, Lizhen Ji, Athanase Papadopoulos
Null-set compactifications of Teichmüller spaces / Vincent Alberge, Hideki Miyachi, Ken'ichi Ohshika
Mirzakhani's recursion formula on Weil-Petersson volume and applications / Yi Huang
Rigidity phenomena in the mapping class group / Javier Aramayona, Juan Souto
Harmonic volume and its applications / Yuuki Tadokoro
Torus bundles and 2-forms on the universal family of Riemann surfaces / Robin de Jong
Cubic Differentials in the Differential Geometry of Surfaces / John Loftin, Ian McIntosh
Two-generator groups acting on the complex hyperbolic plane / Pierre Will
Configuration spaces of planar linkages / Alexey Sossinsky
Quasiconformal mappings on the Heisenberg group: An overview / Ioannis D. Platis
Actions of the absolute Galois group / Norbert A'Campo, Lizhen Ji, Athanase Papadopoulos
A primer on dessins / Pierre Guillot
Hypergeometric Galois Actions / A. Muhammed Uludağ, İsmail Sağlam
A panaroma of the fundamental group of the modular orbifold / A. Muhammed Uludağ, Ayberk Zeytin
On Grothendieck's tame topology / Norbert A'Campo, Lizhen Ji, Athanase Papadopoulos
Some historical commentaries on Teichmüller's paper Extremale quasikonforme Abbildungen und quadratische Differentiale / Reiner Kühnau
Complete solution of an extremal problem of the quasiconformal mapping / Oswald Teichmüller
A Commentary on Teichmüller's paper Vollständige Lösung einer Extremalaufgabe der quasikonformen Abbildung / Vincent Alberge, Athanase Papadopoulos
On extremal problems of conformal geometry / Oswald Teichmüller
A Commentary on Teichmüller's paper Über Extremalprobleme der konformen Geometrie / Norbert A'Campo, Athanase Papadopoulos
A displacement theorem of quasiconformal mapping / Oswald Teichmüller
A Commentary on Teichmüller's paper Ein Verschiebungssatz der quasikonformen Abbildung / Vincent Alberge.
Alexander Grothendieck / Valentin Poenaru
On Grothendieck's construction of Teichmüller space / Norbert A'Campo, Lizhen Ji, Athanase Papadopoulos
Null-set compactifications of Teichmüller spaces / Vincent Alberge, Hideki Miyachi, Ken'ichi Ohshika
Mirzakhani's recursion formula on Weil-Petersson volume and applications / Yi Huang
Rigidity phenomena in the mapping class group / Javier Aramayona, Juan Souto
Harmonic volume and its applications / Yuuki Tadokoro
Torus bundles and 2-forms on the universal family of Riemann surfaces / Robin de Jong
Cubic Differentials in the Differential Geometry of Surfaces / John Loftin, Ian McIntosh
Two-generator groups acting on the complex hyperbolic plane / Pierre Will
Configuration spaces of planar linkages / Alexey Sossinsky
Quasiconformal mappings on the Heisenberg group: An overview / Ioannis D. Platis
Actions of the absolute Galois group / Norbert A'Campo, Lizhen Ji, Athanase Papadopoulos
A primer on dessins / Pierre Guillot
Hypergeometric Galois Actions / A. Muhammed Uludağ, İsmail Sağlam
A panaroma of the fundamental group of the modular orbifold / A. Muhammed Uludağ, Ayberk Zeytin
On Grothendieck's tame topology / Norbert A'Campo, Lizhen Ji, Athanase Papadopoulos
Some historical commentaries on Teichmüller's paper Extremale quasikonforme Abbildungen und quadratische Differentiale / Reiner Kühnau
Complete solution of an extremal problem of the quasiconformal mapping / Oswald Teichmüller
A Commentary on Teichmüller's paper Vollständige Lösung einer Extremalaufgabe der quasikonformen Abbildung / Vincent Alberge, Athanase Papadopoulos
On extremal problems of conformal geometry / Oswald Teichmüller
A Commentary on Teichmüller's paper Über Extremalprobleme der konformen Geometrie / Norbert A'Campo, Athanase Papadopoulos
A displacement theorem of quasiconformal mapping / Oswald Teichmüller
A Commentary on Teichmüller's paper Ein Verschiebungssatz der quasikonformen Abbildung / Vincent Alberge.
Digital File Characteristics
text file PDF
Source of Description
Online resource; title from PDF title page (viewed April 7, 2017).
Added Author
Series
IRMA lectures in mathematics and theoretical physics ; 27.
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