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arXiv · 1210.1293

Infinitely many lattice surfaces with special pseudo-Anosov maps

Kariane Calta·Thomas A. Schmidt
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Abstract

We give explicit pseudo-Anosov homeomorphisms with vanishing Sah-Arnoux-Fathi invariant. Any translation surface whose Veech group is commensurable to any of a large class of triangle groups is shown to have an affine pseudo-Anosov homeomorphism of this type. We also apply a reduction to finite triangle groups and thereby show the existence of non-parabolic elements in the periodic field of certain translation surfaces.

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Kariane Calta, Thomas A. Schmidt. 2012-10-04. Infinitely many lattice surfaces with special pseudo-Anosov maps. https://arxiv.org/abs/1210.1293

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