| Title |
Handbook of Teichmüller Theory, Volume IV ([EBook] /) / Athanase Papadopoulos |
| Added Personal Name |
Papadopoulos, Athanase |
| Publication |
Zuerich, Switzerland : : European Mathematical Society Publishing House, , 2014 |
| Physical Details |
1 online resource (838 pages) |
| Series |
IRMA Lectures in Mathematics and Theoretical Physics (IRMA) 2523-5133 ; ; 19 |
| ISBN |
9783037196175 |
| Summary Note |
Teichmüller theory is, since several decades, one of the most active research areas in mathematics, with a very wide range of points of view, including Riemann surface theory, hyperbolic geometry, low-dimensional topology, several complex variables, algebraic geometry, arithmetic, partial differential equations, dynamical systems, representation theory, symplectic geometry, geometric group theory, and mathematical physics. The present book is the fourth volume in a Handbook of Teichmüller Theory project that started as an attempt to present, in a most comprehensive and systematic way, the various aspects of this theory with its relations to all the fields mentioned. The handbook is addressed to researchers as well as graduate students. The present volume is divided into five parts: Part A: The metric and the analytic theory. Part B: Representation theory and generalized structures. Part C: Dynamics. Part D: The quantum theory. Part E: Sources. Parts A, B and D are sequels of parts on the same theme in previous volumes. Part E has a new character in the series; it contains the translation together with a commentary of an important paper by Teichmüller which is almost unknown even to specialists. Making clear the original ideas of and motivations for a theory is crucial for many reasons, and rendering available this translation together with the commentary that follows will give a new impulse and will contribute in putting the theory into a broader perspective. The various volumes in this collection are written by experts who have a broad view on the subject. In general, the chapters have an expository character, which is the original purpose of this handbook, while some of them contain new and important results.: |
| Contents note |
Introduction to Teichmüller theory, old and new, IV /: Local and global aspects of Weil–Petersson geometry /: Simple closed geodesics and the study of Teichmüller spaces /: Curve complexes versus Tits buildings: structures and applications /: Extremal length geometry /: Compactifications of Teichmüller spaces /: Arc geometry and algebra: foliations, moduli spaces, string topology and field theory /: The horoboundary and isometry group of Thurston’s Lipschitz metric /: The horofunction compactification of the Teichmüller metric /: Lipschitz algebras and compactifications of Teichmüller space /: On the geodesic geometry of infinite-dimensional Teichmüller spaces /: Holomorphic families of Riemann surfaces and monodromy /: The deformation of flat affine structures on the two-torus /: Higher Teichmüller spaces: from SL(2,$\mathbb{R}$) to other Lie groups /: The theory of quasiconformal mappings in higher dimensions, I /: Infinite-dimensional Teichmüller spaces and modular groups /: Teichmüller spaces and holomorphic dynamics /: A survey of quantum Teichmüller space and Kashaev algebra /: Variable Riemann surfaces /: A commentary on Teichmüller’s paper Veränderliche Riemannsche 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/10.4171/117 |
| See Also |
https://www.ems-ph.org/img/books/9783037191170_mini.gif |
| Links to Related Works |
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