Notes on the Veech group of the Chamanara surface
Frank Herrlich, Anja Randecker
TL;DR
This paper reviews the properties of the Veech group associated with the Chamanara surface, an infinite translation surface, highlighting its structure as a non-elementary Fuchsian group generated by two parabolic elements.
Contribution
It provides a detailed analysis of the Veech group of the Chamanara surface, including its generation by two parabolic elements and its classification as a non-elementary Fuchsian group.
Findings
Veech group is a non-elementary Fuchsian group of the second kind.
Veech group is generated by two parabolic elements.
The surface is an infinite translation surface with unique Veech group properties.
Abstract
These notes discuss an infinite translation surface, introduced by Chamanara. We review his proof that the Veech group is a non-elementary Fuchsian group of the second kind which is generated by two parabolic elements.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Algebraic Geometry and Number Theory · Geometric and Algebraic Topology