Luke Seaton

collaborators

2 papers

math.GT2025

Satellite Operations and $θ$

Rob McConkey, Luke J Seaton

We study the behavior of the knot invariant $θ$ under satellite operations. First, we prove that $θ$ is additive under connected sum. We then introduce a computational tool to gene…

math.GT2019

Gordian Adjacency for Positive Braid Knots

Tolson H. Bell, David C. Luo, Luke Seaton +1

A knot $K_{1}$ is said to be Gordian adjacent to a knot $K_{2}$ if $K_{1}$ is an intermediate knot on an unknotting sequence of $K_{2}$ . We extend previous results on Gordian adjacency by…

Satellite Operations and θ

Gordian Adjacency for Positive Braid Knots

Satellite Operations and $θ$