Veech surfaces with non-periodic directions in the trace field
classification
🧮 math.DS
keywords
directionsexamplesfieldnon-periodicsaf-invariantsurfacestraceveech
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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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