2 problems

Let $K$ be a satellite knot with companion $J$ and wrapping number $m$. The Zupan width conjecture. … The conjecture replaces the winding number by the always nonzero wrapping numb…

Let $F \subset \mathbf{R}^4$ be an orientable surface knot. Here $w(F)$ denotes the width of $F$, and $\operatorname{Braid}(F)$ denotes its braid index. Width bound conjecture. The…