3 problems

Let $L$ be a fibered link in $S^3$. A mutual arc presentation is the presentation defined in the paper that generalizes Cromwell's arc presentations. Mutual arc presentation conjec…

Let $L$ be a fibered link in $S^3$. A braided open book is an open book in $S^3$ whose binding is braided relative to the standard open book with unknotted binding; equivalently, i…

Let $L$ be a fibered link in $S^3$. A simple branched cover is a map $\pi\colon S^3\to S^3$ branched over a link $L'$, and $\alpha$ and $\beta$ are unknots that are braid axes of…