2 citations · 3 across the 3 of their papers we have counts for
4 papers
Hyperbolic graphs of small complexity
Damian Heard, Craig Hodgson, Bruno Martelli +1
In this paper we enumerate and classify the ``simplest'' pairs (M,G) where M is a closed orientable 3-manifold and G is a trivalent graph embedded in M. To enumerate the pairs we u…
Commensurators of cusped hyperbolic manifolds
Oliver Goodman, Damian Heard, Craig Hodgson
This paper describes a general algorithm for finding the commensurator of a non-arithmetic cusped hyperbolic manifold, and for deciding when two such manifolds are commensurable. T…
Harmonic deformations of hyperbolic 3-manifolds
Craig D. Hodgson, Steven P. Kerckhoff
This paper gives an exposition of the authors' harmonic deformation theory for 3-dimensional hyperbolic cone-manifolds. We discuss topological applications to hyperbolic Dehn surge…
Universal bounds for hyperbolic Dehn surgery
Craig D. Hodgson, Steven P. Kerckhoff
This paper gives a quantitative version of Thurston's hyperbolic Dehn surgery theorem. Applications include the first universal bounds on the number of non-hyperbolic Dehn fillings…