23 citations · 199 across the 45 of their papers we have counts for
6 papers · 1 filter
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…
Determining the trisection genus of orientable and non-orientable PL 4-manifolds through triangulations
Jonathan Spreer, Stephan Tillmann
Gay and Kirby recently introduced the concept of a trisection for arbitrary smooth, oriented closed 4-manifolds, and with it a new topological invariant, called the trisection genu…
On the treewidth of triangulated 3-manifolds
Kristóf Huszár, Jonathan Spreer, Uli Wagner
In graph theory, as well as in 3-manifold topology, there exist several width-type parameters to describe how "simple" or "thin" a given graph or 3-manifold is. These parameters, s…
The EKR property for flag pure simplicial complexes without boundary
Jorge Olarte, Francisco Santos, Jonathan Spreer +1
We prove that the family of facets of a pure simplicial complex of dimension up to three satisfies the Erdős-Ko-Rado property whenever it is flag and has no boundary ridges. We con…
Unravelling the Dodecahedral Spaces
Jonathan Spreer, Stephan Tillmann
The hyperbolic dodecahedral space of Weber and Seifert has a natural non-positively curved cubulation obtained by subdividing the dodecahedron into cubes. We show that the hyperbol…
The Pachner graph of 2-spheres
Benjamin A. Burton, Basudeb Datta, Jonathan Spreer
It is well-known that the Pachner graph of -vertex triangulated -spheres is connected, i.e., each pair of -vertex triangulated -spheres can be turned into each other by…