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Handbook of Teichmüller Theory, Volume V

Handbook of Teichmüller Theory, Volume V
Catalogue Information
Field name Details
Title Handbook of Teichmüller Theory, Volume V ([EBook] /) / Athanase Papadopoulos
Added Personal Name Papadopoulos, Athanase
Publication Zuerich, Switzerland : : European Mathematical Society Publishing House, , 2016
Physical Details 1 online resource (596 pages)
Series IRMA Lectures in Mathematics and Theoretical Physics (IRMA) 2523-5133 ; ; 26
ISBN 9783037196601
Summary Note This volume is the fifth in a series dedicated to Teichmüller theory in a broad sense, including the study of various deformation spaces and of mapping class group actions. It is divided into four parts: Part A: The metric and the analytic theory Part B: The group theory Part C: Representation theory and generalized structures Part D: Sources The topics that are covered include identities for the hyperbolic geodesic length spectrum, Thurston's metric, the cohomology of moduli space and mapping class groups, the Johnson homomorphisms, Higgs bundles, dynamics on character varieties, and there are many others. Besides surveying important parts of the theory, several chapters contain conjectures and open problems. The last part contains two fundamental papers by Teichmüller, translated into English and accompanied by mathematical commentaries. The chapters, like those of the other volumes in this collection, are written by experts who have a broad view on the subject. They have an expository character (which fits with the original purpose of this handbook), but some of them also contain original and new material. The Handbook is addressed to researchers and to graduate students.:
Contents note Introduction to Teichmüller theory, old and new, V /: Identities on hyperbolic manifolds /: Problems on the Thurston metric /: Meyer functions and the signature of fibered 4-manifolds /: The Goldman–Turaev Lie bialgebra and the Johnson homomorphisms /: A survey of the Johnson homomorphisms of the automorphism groups of free groups and related topics /: Geometry and dynamics on character varieties /: Compactifications and reduction theory of geometrically finite locally symmetric spaces /: Representations of fundamental groups of 2-manifolds /: Extremal quasiconformal mappings and quadratic differentials /: A commentary on Teichmüller’s paper Extremale quasikonforme Abbildungen und quadratische Differentiale /: Determination of extremal quasiconformal mappings of closed oriented Riemann surfaces /: A commentary on Teichmüller’s paper Bestimmung der extremalen quasikonformen Abbildungen bei geschlossenen orientierten Riemannschen Flächen /:
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/10.4171/160
See Also https://www.ems-ph.org/img/books/papadopoulos-v_mini.jpg
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