10 citations · 44 across the 15 of their papers we have counts for
19 papers
Verified Length Spectrum and Margulis number for Hyperbolic 3-Manifolds
Matthias Goerner, Robert C. Haraway, Neil R. Hoffman +1
We present a new algorithm to compute a stream for the length spectrum of an oriented, finite-volume hyperbolic 3-manifold . The advantage over the existing algorithm by Hodgson…
Small representations of Seifert fiber space groups
Neil R Hoffman, Kathleen L Petersen
Let be a Seifert fiber space with non-abelian fundamental group and admitting a triangulation with tetrahedra. We show that there is a non-abelian $\text{PSL}(2, \mathbb{F}…
Exceptional surgeries in 3-manifolds
Kenneth L. Baker, Neil R. Hoffman
Myers shows that every compact, connected, orientable --manifold with no --sphere boundary components contains a hyperbolic knot. We use work of Ikeda with an observation of…
Dehn surgery and hyperbolic knot complements without hidden symmetries
Eric Chesebro, Jason DeBlois, Neil R Hoffman +3
Neumann and Reid conjecture that there are exactly three knot complements which admit hidden symmetries. This paper establishes several results that provide evidence for the conjec…
Cusp types of quotients of hyperbolic knot complements
Neil R Hoffman
This paper completes a classification of the types of orientable and non-orientable cusps that can arise in the quotients of hyperbolic knot complements. In particular, $S^2(2,4,4)…
Symmetries and hidden symmetries of -twisted knot complements
Neil R. Hoffman, Christian Millichap, William Worden
In this paper we analyze symmetries, hidden symmetries, and commensurability classes of -twisted knot complements, which are the complements of knots that have a sufficie…