36 citations · 50 across the 7 of their papers we have counts for
7 papers
The 3D index and Dehn filling
Daniele Celoria, Craig D. Hodgson, J. Hyam Rubinstein
We provide a rigorous proof of the Gang-Yonekura formula describing the transformation of the 3D index under Dehn filling a cusp in an orientable 3-manifold. The 3D index, original…
Compression Maps Between Polytopes
José Ayala, David Kirszenblat, J. Hyam Rubinstein
A shape of a combinatorial polytope is a convex embedding into Euclidean space. We provide necessary and sufficient conditions for a piecewise linear map between two shapes of the…
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…
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…
Z2-Thurston Norm and Complexity of 3-Manifolds
William Jaco, J. Hyam Rubinstein, Stephan Tillmann
A new lower bound on the complexity of a 3-manifold is given using the Z2-Thurston norm. This bound is shown to be sharp, and the minimal triangulations realising it are characteri…