59 citations · 75 across the 4 of their papers we have counts for
6 papers
On minimal ideal triangulations of cusped hyperbolic 3-manifolds
William Jaco, Hyam Rubinstein, Jonathan Spreer +1
Previous work of the authors studies minimal triangulations of closed 3-manifolds using a characterisation of low degree edges, embedded layered solid torus subcomplexes and 1-dime…
The 3D-index and normal surfaces
Stavros Garoufalidis, Craig Hodgson, Neil Hoffman +1
Dimofte, Gaiotto and Gukov introduced a powerful invariant, the 3D-index, associated to a suitable ideal triangulation of a 3-manifold with torus boundary components. The 3D-index…
The classification of homotopy classes of bounded curvature paths
José Ayala, J. Hyam Rubinstein
A bounded curvature path is a continuously differentiable piecewise path with bounded absolute curvature that connects two points in the tangent bundle of a surface. In this…
Four-dimensional Haken cobordism theory
Bell Foozwell, Hyam Rubinstein
Cobordism of Haken -manifolds is defined by a Haken -manifold whose boundary has two components, each of which is a closed Haken -manifold. In addition, the inclus…
Minimal triangulations for an infinite family of lens spaces
William Jaco, J. Hyam Rubinstein, Stephan Tillmann
The notion of a layered triangulation of a lens space was defined by Jaco and Rubinstein in earlier work, and, unless the lens space is L(3,1), a layered triangulation with the min…
3-manifolds built from injective handlebodies
J. Coffey, H. Rubinstein
This paper looks at a class of closed orientable 3-manifolds constructed from a gluing of three handlebodies, such that the inclusion of each handlebody is -injective. This co…