64 citations · 247 across the 36 of their papers we have counts for
3 papers · 1 filter
Commensurability classes of 2-bridge knot complements
Alan W. Reid, Genevieve S. Walsh
We show that a hyperbolic 2-bridge knot complement is the unique knot complement in its commensurability class. We also discuss constructions of commensurable hyperbolic knot compl…
Length and eigenvalue equivalence
Christopher J. Leininger, D. B. McReynolds, Walter D. Neumann +1
Two Riemannian manifolds are called eigenvalue equivalent when their sets of eigenvalues of the Laplace-Beltrami operator are equal (ignoring multiplicities). They are (primitive)…
Covering spaces of arithmetic 3-orbifolds
Marc Lackenby, Darren D. Long, Alan W. Reid
Let G be an arithmetic Kleinian group, and let O be the associated hyperbolic 3-orbifold or 3-manifold. In this paper, we prove that, in many cases, G is large, which means that so…