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Teichmüller Spaces and Negatively Curved Fiber Bundles

✍ Scribed by Tom Farrell; Pedro Ontaneda

Publisher
Springer
Year
2010
Tongue
English
Weight
409 KB
Volume
20
Category
Article
ISSN
1016-443X

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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