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Homotopy of curves and mappings and the Teichmüller metric

✍ Scribed by A. Yu. Vasil'ev

Publisher
SP MAIK Nauka/Interperiodica
Year
1996
Tongue
English
Weight
286 KB
Volume
59
Category
Article
ISSN
0001-4346

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## Abstract Teichmüller curves are geodesic discs in Teichmüller space that project to algebraic curves __C__ in the moduli space __M~g~__. Some Teichmüller curves can be considered as components of Hurwitz spaces. We show that the absolute Galois group __G__~ℚ~ acts faithfully on the set of these