arXiv subjects

Colin Maclachlan

Publications and source records attributed to Colin Maclachlan.

2 recordsLinked to original sources

arXiv2015

The (p, q)-arithmetic hyperbolic lattices; p, q greater than or equal to 6

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.

math.GT↗

arXiv1999

Constructing Hyperbolic Manifolds

In this paper we show how to obtain representations of Coxeter groups acting on H^n to certain classical groups. We determine when the kernel of such a representation is torsion-free and thus the quotient a hyperbolic n-manifold.

math.GT↗