2 citations · 2 across the 4 of their papers we have counts for
4 papers · 1 filter
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…
The 191 orientable octahedral manifolds
Damian Heard, Ekaterina Pervova, Carlo Petronio
We enumerate all spaces obtained by gluing in pairs the faces of the octahedron in an orientation-reversing fashion. Whenever such a gluing gives rise to non-manifold points, we re…
Combinatorial and geometric methods in topology
Carlo Petronio, Damian Heard, Ekaterina Pervova
Starting from the (apparently) elementary problem of deciding how many different topological spaces can be obtained by gluing together in pairs the faces of an octahedron, we will…