Hyperbolic tessellations associated to Bianchi groups
Number Theory
2009-10-20 v2 Combinatorics
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.
Cite
@article{arxiv.0908.1762,
title = {Hyperbolic tessellations associated to Bianchi groups},
author = {Dan Yasaki},
journal= {arXiv preprint arXiv:0908.1762},
year = {2009}
}
Comments
8 pages, 4 tables. Tables revised