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Handbook of Teichmüller Theory, Vol...

Papadopoulos, Athanase,

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Handbook of Teichmüller Theory, Volume III

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Handbook of Teichmüller Theory, Volume III/ Athanase Papadopoulos
其他作者:	Papadopoulos, Athanase,
出版者:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2012,
面頁冊數:	1 online resource (874 pages)
標題:	Complex analysis -
電子資源:	https://doi.org/10.4171/103
電子資源:	https://www.ems-ph.org/img/books/irma17_mini.jpg
ISBN:	9783037196038

Handbook of Teichmüller Theory, Volume III
Handbook of Teichmüller Theory, Volume III[electronic resource] /Athanase Papadopoulos - Zuerich, Switzerland :European Mathematical Society Publishing House,2012 - 1 online resource (874 pages) - IRMA Lectures in Mathematics and Theoretical Physics (IRMA) ;172523-5133 ;.

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

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

The subject of this handbook is Teichmüller theory in a wide sense, namely the theory of geometric structures on surfaces and their moduli spaces. This includes the study of vector bundles on these moduli spaces, the study of mapping class groups, the relation with 3-manifolds, the relation with symmetric spaces and arithmetic groups, the representation theory of fundamental groups, and applications to physics. Thus the handbook is a place where several fields of mathematics interact: Riemann surfaces, hyperbolic geometry, partial differential equations, several complex variables, algebraic geometry, algebraic topology, combinatorial topology, low-dimensional topology, theoretical physics, and others. This confluence of ideas towards a unique subject is a manifestation of the unity and harmony of mathematics. The present volume contains surveys on the fundamental theory as well as surveys on applications to and relations with the fields mentioned above. It is written by leading experts in the fields. Some of the surveys contain classical material, while others present the latest developments of the theory as well as open problems. The metric and the analytic theory. The group theory. The algebraic topology of mapping class groups and moduli spaces. Teichmüller theory and mathematical physics. The handbook is addressed to graduate students and researchers in all the fields mentioned.

ISBN: 9783037196038

Standard No.: 10.4171/103doiSubjects--Topical Terms:

3480831
Complex analysis

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