Showing 2026Show all
2 papers · 1 filter
math.GT2026
Torus knots as loop-edges in three-sphere triangulations
Lezhi Lin, Jonathan Spreer
We present a procedure that, given a pair of coprime integers, produces a one-vertex triangulation of the three-sphere containing the corresponding torus knot as an edge. The const…
math.GT2026
The search for exotic knot traces
Marc Kegel, Jonathan Spreer
Two distinct knots are said to be friends if their complements, filled along the 0-slope, produce diffeomorphic 3-manifolds. In this article, we develop a practical algorithm, impl…