3 problems

Zupan's distance conjecture. For any $(g,b)$-bridge position of $(M,K)$,

Bridge version of Gordon's conjecture. The connected sum of two unperturbed bridge positions is unperturbed.

Let $K$ be a knot in a 3-manifold $M$ with a $(g,b)$-splitting, where $g\geq 1$. Let $(g',b',n)$ be a triple of non-negative integers with $g'\geq g$ and $b'\geq b$. High-distance…