3 problems

Let $J$ be a knot with bridge spectrum … and let $K={\mathsf {cable}}(T_{m,n},J)$ be a cable of $J$. The bridge-spectrum cabling conjecture. … The conjecture expresses the observed…

Let $M_0$ be a Montesinos knot, and let $K={\mathsf {cable}}(T_{m,n},M_0)$ be an $(m,n)$-cable of $M_0$. The bridge spectrum of $K$ is the Montesinos–pretzel bridge-spectrum conjec…

Let $K_j=K_j(p_1,p_2,\ldots,p_j)$ be a pretzel knot with stair-step primitive bridge spectrum. Let $T_{m,n}$ be an $(m,n)$-torus knot, and set … If…