10 citations · 29 across the 7 of their papers we have counts for
7 papers · 1 filter
A new family of minimal ideal triangulations of cusped hyperbolic 3-manifolds
J. Hyam Rubinstein, Jonathan Spreer, Stephan Tillmann
Previous work of the authors with Bus Jaco determined a lower bound on the complexity of cusped hyperbolic 3-manifolds and showed that it is attained by the monodromy ideal triangu…
Computing trisections of 4-manifolds
Mark Bell, Joel Hass, J. Hyam Rubinstein +1
Algorithms that decompose a manifold into simple pieces reveal the geometric and topological structure of the manifold, showing how complicated structures are constructed from simp…
Problems around 3-manifolds
J Hyam Rubinstein
This is a personal view of some problems on minimal surfaces, Ricci flow, polyhedral geometric structures, Haken 4-manifolds, contact structures and Heegaard splittings, singular i…
Finding planar surfaces in knot- and link-manifolds
William Jaco, J. Hyam Rubinstein, Eric Sedgwick
It is shown that given any link-manifold, there is an algorithm to decide if the manifold contains an embedded, essential planar surface; if it does, the algorithm will construct o…
Finiteness of 3-manifolds associated with non-zero degree mappings
Michel Boileau, J. Hyam Rubinstein, Shicheng Wang
We prove a finiteness result for the -patterned guts decomposition of all 3-manifolds obtained by splitting a given orientable, irreducible and -irreducible 3-m…
Closed geodesics on incomplete surfaces
Paul Norbury, J. Hyam Rubinstein
We consider the problem of finding embedded closed geodesics on the two-sphere with an incomplete metric defined outside a point. Various techniques including curve shortening meth…