MathDBEven tetrahedron count conjecture for tetrahedral link complements
Even tetrahedron count conjecture for tetrahedral link complements
A tetrahedral link complement is a link complement that admits a tetrahedral tessellation; the corresponding combinatorial tetrahedral tessellation has a well-defined number of tetrahedra.
Evenness conjecture. Every tetrahedral link complement has an even number of tetrahedra; equivalently, a corresponding combinatorial tetrahedral tessellation has an even number of tetrahedra.
The claim is suggested by the census data for tetrahedral manifolds and links. The supplied text gives no resolution of the conjecture.
Sources & referencesView supporting material
Primary source
Evgeny Fominykh, Stavros Garoufalidis, Matthias Goerner, Vladimir Tarkaev and Andrei Vesnin, “A census of tetrahedral hyperbolic manifolds”, arXiv:1502.00383 (2015).
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