The (p, q)-arithmetic hyperbolic lattices; p, q greater than or equal to 6
Geometric Topology
2015-02-20 v1
Abstract
We prove there are exactly 16 arithmetic lattices of hyperbolic 3-space which are generated by two elements of finite orders p and q with p,q at least six. We also verify a conjecture of H.M. Hilden, M.T. Lozano, and J.M. Montesinos concerning the orders of the singular sets of arithmetic orbifold Dehn surgeries on two bridge knot and link complements.
Keywords
Cite
@article{arxiv.1502.05453,
title = {The (p, q)-arithmetic hyperbolic lattices; p, q greater than or equal to 6},
author = {Colin Maclachlan and Gaven Martin},
journal= {arXiv preprint arXiv:1502.05453},
year = {2015}
}