59 citations · 167 across the 14 of their papers we have counts for
15 papers
Complexity of 3-manifolds obtained by Dehn filling
William Jaco, J. Hyam Rubinstein, Jonathan Spreer +1
Let be a compact 3--manifold with boundary a single torus. We present upper and lower complexity bounds for closed 3--manifolds obtained as even Dehn fillings of As an app…
Slope norm and an algorithm to compute the crosscap number
William Jaco, J. Hyam Rubinstein, Jonathan Spreer +1
We give three algorithms to determine the crosscap number of a knot in the 3-sphere using -efficient triangulations and normal surface theory. Our algorithms are shown to be cor…
Efficient triangulations and boundary slopes
Birch Bryant, William Jaco, J. Hyam Rubinstein
For a compact, irreducible, -irreducible, an-annular bounded 3-manifold , then any triangulation of can be modified to an ideal triang…
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…
Z2-Thurston Norm and Complexity of 3-Manifolds, II
William Jaco, J. Hyam Rubinstein, Jonathan Spreer +1
In this sequel to earlier papers by three of the authors, we obtain a new bound on the complexity of a closed 3--manifold, as well as a characterisation of manifolds realising our…
Bounds for the genus of a normal surface
William Jaco, Jesse Johnson, Jonathan Spreer +1
This paper gives sharp linear bounds on the genus of a normal surface in a triangulated compact, orientable 3--manifold in terms of the quadrilaterals in its cell decomposition---d…