Historical development of Teichmüller theory
type: Item
instance of: scholarly article
title: Historical development of Teichmüller theory
zbMATH Open document ID: 1266.01022
author: Lizhen Ji
author: Athanase Papadopoulos
published in: Archive for History of Exact Sciences
publication date: 2013-04-24T00:00:00Z
review text: Teichmüller theory started out as a theory on deformations and on moduli spaces of marked Riemann surfaces. In their well-written survey, the authors sketch the origins and the early developments of Teichmüller theory (up to Kodaira-Spencer theory and Kähler structures on manifolds), and present the opinions of many mathematicians such as Ahlfors, Bers, and Weil.
reviewed by: Franz Lemmermeyer
Mathematics Subject Classification ID: 01A60
Mathematics Subject Classification ID: 30-03
Mathematics Subject Classification ID: 30F60
Mathematics Subject Classification ID: 32-03
Mathematics Subject Classification ID: 32G15
zbMATH DE Number: 6157149
zbMATH Keywords: Riemann surfaces
zbMATH Keywords: moduli problems
zbMATH Keywords: quasi-conformal mappings
zbMATH Keywords: Teichmüller spaces
zbMATH Keywords: Beltrami equation
zbMATH Keywords: periods
zbMATH Keywords: abelian differentials
zbMATH Keywords: Kodaira-Spencer theory
zbMATH Keywords: Kähler structure
zbMATH Keywords: Weil-Petersson metric
MaRDI profile type: Publication
full work available at URL: s00407-012-0104-y
OpenAlex ID: W1967919848
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DOI: 10.1007/S00407-012-0104-Y
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