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arXiv · 0812.3144

Orientation-reversing involutions of the genus 3 Arnoux-Yoccoz surface and related surfaces

Joshua P. Bowman
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Abstract

We present a new description of the genus 3 Arnoux--Yoccoz translation surface in terms of its Delaunay polygons and show that, up to affine equivalence, it belongs to two families of surfaces whose isometry groups include the dihedral group of the square.

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Joshua P. Bowman. 2010-07-02. Orientation-reversing involutions of the genus 3 Arnoux-Yoccoz surface and related surfaces. https://arxiv.org/abs/0812.3144

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