On five papers by Herbert Gr{\"o}tzsch
Vincent Alberge, Athanase Papadopoulos (IRMA)

TL;DR
This paper reviews five early works by Herbert Grötzsch, illustrating the development of his ideas from conformal to quasiconformal mappings and highlighting his contributions to Teichmüller theory.
Contribution
It provides a historical and mathematical overview of Grötzsch's foundational papers, emphasizing his motivation and results in quasiconformal mapping theory.
Findings
Progression from conformal to quasiconformal mappings
Introduction of quasiconformal mappings concepts
Influence on Teichmüller theory
Abstract
Herbert Gr{\"o}tzsch is the main founder of the theory of quasicon-formal mappings. We review five of his papers, written between 1928 and 1932, that show the progress of his work from conformal to quasiconformal geometry. This will give an idea of his motivation for introducing quasicon-formal mappings, of the problems he addressed and on the results he obtained concerning these mappings. The final version of this paper will appear in Vol. VII of the Handbook of Teichm{\"u}ller theory.
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