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

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

2008-12-16

arxiv.org/abs/0812.3144v2

Mathematics

Geometric Topology

11 pages, incl. references; 7 figures; to appear in the Proceedings of the Fourth Alhfors-Bers Colloquium; incorporates sugges

Scientific paper

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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