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Field name	Details
Title	Handbook of Teichmüller Theory, Volume VI ([EBook] /) / Athanase Papadopoulos
Added Personal Name	Papadopoulos, Athanase
Publication	Zuerich, Switzerland : : European Mathematical Society Publishing House, , 2016
Physical Details	1 online resource (652 pages)
Series	IRMA Lectures in Mathematics and Theoretical Physics (IRMA) 2523-5133 ; ; 27
ISBN	9783037196618
Summary Note	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.:
Contents note	Introduction to Teichmüller theory, old and new, VI /: Alexander Grothendieck /: On Grothendieck’s construction of Teichmüller space /: Null-set compactifications of Teichmüller spaces /: Mirzakhani’s recursion formula on Weil–Petersson volume and applications /: Rigidity phenomena in the mapping class group /: Harmonic volume and its applications /: Torus bundles and 2-forms on the universal family of Riemann surfaces /: Cubic Differentials in the Differential Geometry of Surfaces /: Two-generator groups acting on the complex hyperbolic plane /: Configuration spaces of planar linkages /: Quasiconformal mappings on the Heisenberg group: An overview /: Actions of the absolute Galois group /: A primer on dessins /: Hypergeometric Galois Actions /: A panaroma of the fundamental group of the modular orbifold /: On Grothendieck’s tame topology /: Some historical commentaries on Teichmüller’s paper Extremale quasikonforme Abbildungen und quadratische Differentiale /: Complete solution of an extremal problem of the quasiconformal mapping /: A Commentary on Teichmüller’s paper Vollständige Lösung einer Extremalaufgabe der quasikonformen Abbildung /: On extremal problems of conformal geometry /: A Commentary on Teichmüller’s paper Über Extremalprobleme der konformen Geometrie /: A displacement theorem of quasiconformal mapping /: A Commentary on Teichmüller’s paper Ein Verschiebungssatz der quasikonformen Abbildung /:
Mode of acces to digital resource	Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.4171/161
See Also	https://www.ems-ph.org/img/books/papadopoulos-vi_mini.jpg
Links to Related Works	Subject References: Functional Analysis . Functions of a Complex Variable . Authors: editor . Papadopoulos, Athanase . Series: IRMA Lectures in Mathematics and Theoretical Physics (IRMA) .

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Handbook of Teichmüller Theory, Volume VI

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