4 citations · 4 across the 3 of their papers we have counts for
3 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…
2-manifold recognition is in logspace
Benjamin A. Burton, Murray Elder, Arkadius Kalka +1
We prove that the homeomorphism problem for 2-manifolds can be decided in logspace. The proof relies on Reingold's logspace solution to the undirected -connectivity problem in…
Thurston's Spinning Construction and Solutions to the Hyperbolic Gluing Equations for Closed Hyperbolic 3-Manifolds
Feng Luo, Stephan Tillmann, Tian Yang
We show that the hyperbolic structure on a closed, orientable, hyperbolic 3-manifold can be constructed from a solution to the hyperbolic gluing equations using any triangulation w…