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Handbook of Teichmüller Theory, Vol...

Papadopoulos, Athanase,

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Handbook of Teichmüller Theory, Volume VII

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Handbook of Teichmüller Theory, Volume VII/ Athanase Papadopoulos
其他作者:	Papadopoulos, Athanase,
出版者:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2020,
面頁冊數:	1 online resource (626 pages)
標題:	Functional analysis -
電子資源:	https://doi.org/10.4171/203
電子資源:	https://www.ems-ph.org/img/books/papadopoulos-vii_mini.jpg
ISBN:	9783037197035

Handbook of Teichmüller Theory, Volume VII
Handbook of Teichmüller Theory, Volume VII[electronic resource] /Athanase Papadopoulos - Zuerich, Switzerland :European Mathematical Society Publishing House,2020 - 1 online resource (626 pages) - IRMA Lectures in Mathematics and Theoretical Physics (IRMA) ;302523-5133 ;.

Introduction to Teichmüller theory, old and new, VII /Athanase Papadopoulos --

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

The present volume of the Handbook of Teichmüller theory is divided into three parts. The first part contains surveys on various topics in Teichmüller theory, including the complex structure of Teichmüller space, the Deligne-Mumford compactification of the moduli space, holomorphic quadratic differentials, Kleinian groups, hyperbolic 3-manifolds and the ending lamination theorem, the universal Teichmüller space, barycentric extensions of maps of the circle, and the theory of Higgs bundles. The second part consists of three historico-geometrical articles on Tissot (a precursor of the theory of quasiconfomal mappings), Grötzsch and Lavrentieff, the two main founders of the modern theory of quasiconformal mappings. The third part comprises English translations of \u000cfive papers by Grötzsch, a paper by Lavrentieff, and three papers by Teichmüller. These nine papers are foundational essays on the theories of conformal invariants and quasiconformal mappings, with applications to conformal geometry, to the type problem and to Nevanlinna's theory. The papers are followed by commentaries that highlight the relations between them and between later works on the subject. These papers are not only historical documents; they constitute an invaluable source of ideas for current research in Teichmüller theory.

ISBN: 9783037197035

Standard No.: 10.4171/203doiSubjects--Topical Terms:

731345
Functional analysis

Handbook of Teichmüller Theory, Volume VII
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650 0 7 $a Algebraic geometry $2 bicssc $3 3480846
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650 0 7 $a Dynamical systems and ergodic theory $2 msc $3 3480821
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