Infinitely many lattice surfaces with special pseudo-Anosov maps
Dynamical Systems
2012-10-05 v1
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.
Keywords
Cite
@article{arxiv.1210.1293,
title = {Infinitely many lattice surfaces with special pseudo-Anosov maps},
author = {Kariane Calta and Thomas A. Schmidt},
journal= {arXiv preprint arXiv:1210.1293},
year = {2012}
}
Comments
13 pages, 2 figures