Teichmüller curves , Galois actions and ĜT-relations

  title={Teichm{\"u}ller curves , Galois actions and ĜT-relations},
  author={Martin Moeller},
Teichmüller curves are geodesic discs in Teichmüller space that project to algebraic curves C in the moduli space Mg. Some Teichmüller curves can be considered as components of Hurwitz spaces. We show that the absolute Galois group GQ acts faithfully on the set of these embedded curves. We also compare the action of GQ on π1(C) with the one on π1(Mg) and… CONTINUE READING