4 papers
Triangulating Spun 2-Knot Complements
Rhuaidi Antonio Burke, Benjamin Burton, Arunima Ray +3
A -knot is an embedding of a -sphere into the -sphere. Similar to the case of embedding circles into the -sphere, this allows the -sphere to be knotted. In this shor…
Ropelength-minimizing concentric helices and non-alternating torus knots
Alexander R. Klotz, Finn Thompson
An alternating torus knot or link may be constructed from a repeating double helix after connecting its two ends. A structure with additional helices may be closed to form a non-al…
The space writhes and signatures of polymer knots
Finn Thompson, Maria Maalouf, Alexander R. Klotz
The space writhe of a knot is a property of its three-dimensional embedding that contains information about its underlying topology, but the correspondence between space writhe and…
Effective Computation of the Heegaard Genus of 3-Manifolds
Benjamin A. Burton, Finn Thompson
The Heegaard genus is a fundamental invariant of 3-manifolds. However, computing the Heegaard genus of a triangulated 3-manifold is NP-hard, and while algorithms exist, little work…