5 problems

Height variation conjecture. There is a knot $K$ such that

Let $B_i$ be the braids occurring in the paper's construction, and let $K_{2,1,3,7}$ and $K_{4,1,3,3}$ denote the corresponding knots. A thin position is an embedding realizing min…

Let $K$ and $K'$ be knots, with embeddings $k$ and $k'$, respectively. An embedding is width-minimizing when it realizes the knot's minimum width; similarly, trunk-minimizing and b…

Trunk additivity conjecture. It holds that

Height additivity conjecture. It holds that