2 problems

Let $G$ be a Garside group and let $x\in G$ be rigid. For each positive integer $n$, let $SC(x^n)$ denote the sliding circuits set of $x^n$. Boundedness conjecture. For any rigid e…

Polynomial bound conjecture. There exists a constant $C$ such that, for every rigid braid $x$ with $N$ strands and Garside-length $L$,