23 citations · 199 across the 45 of their papers we have counts for
4 papers · 1 filter
Admissible colourings of 3-manifold triangulations for Turaev-Viro type invariants
Clément Maria, Jonathan Spreer
Turaev Viro invariants are amongst the most powerful tools to distinguish 3-manifolds: They are implemented in mathematical software, and allow practical computations. The invarian…
A construction principle for tight and minimal triangulations of manifolds
Benjamin A. Burton, Basudeb Datta, Nitin Singh +1
Tight triangulations are exotic, but highly regular objects in combinatorial topology. A triangulation is tight if all its piecewise linear embeddings into a Euclidean space are as…
Random collapsibility and 3-sphere recognition
João Paixão, Jonathan Spreer
A triangulation of a -manifold can be shown to be homeomorphic to the -sphere by describing a discrete Morse function on it with only two critical faces, that is, a sequence…
Algorithms and complexity for Turaev-Viro invariants
Benjamin A. Burton, Clément Maria, Jonathan Spreer
The Turaev-Viro invariants are a powerful family of topological invariants for distinguishing between different 3-manifolds. They are invaluable for mathematical software, but curr…