Veech groups without parabolic elements
Pascal Hubert, Erwan Lanneau
Abstract
We prove that a ``bouillabaisse'' surface (translation surface which has two transverse parabolic elements) has totally real trace field. As a corollary, non trivial Veech groups which have no parabolic elements do exist. The proof follows Veech's viewpoint on Thurston's construction of pseudo-Anosov diffeomorphisms.
Create a lesson
Related papers
Linearity of Graph Manifold Groups
Daniel T. Wise
Finding the Birman-Series set
Peter Buser, Hugo Parlier
Thurston's Legacy at the Interface of Surface Dynamics, Train Tracks, and Arithmetic
Ahmad Rafiqi, Ayberk Zeytin
Recognizing oriented knots from finite quotients with one marked element
Indranil Biswas, Shrinit Singh
Symmetries of colored Khovanov-Rozansky homology
Alexis Guérin, Felix Roz
The Colored Jones Function does not determine any colored Links--Gould polynomial
Matthew Harper, Ben-Michael Kohli