Hyperbolic tessellations associated to Bianchi groups

Dan Yasaki

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arXiv · 0908.1762

Hyperbolic tessellations associated to Bianchi groups

Dan Yasaki

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Abstract

Let F/Q be number field. The space of positive definite binary Hermitian forms over F form an open cone in a real vector space. There is a natural decomposition of this cone into subcones, which descend give rise to hyperbolic tessellations of 3-dimensional hyperbolic space by ideal polytopes. We compute the structure of these polytopes for a range of imaginary quadratic fields.

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Dan Yasaki. 2009-10-20. Hyperbolic tessellations associated to Bianchi groups. https://arxiv.org/abs/0908.1762

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