Veech surfaces with non-periodic directions in the trace field

Details Veech surfaces with non-periodic directions in the trace field Veech surfaces with non-periodic directions in the trace field

2009-06-24

arxiv.org/abs/0906.4571v1

Mathematics

Dynamical Systems

22 pages, 1 figure

Scientific paper

We show that each of Veech's original examples of translation surfaces with
``optimal dynamics'' whose trace field is of degree greater than two has
non-periodic directions of vanishing SAF-invariant. Furthermore, we give
explicit examples of pseudo-Anosov diffeomorphisms whose contracting direction
has zero SAF-invariant.

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