3 problems

Strong twist conjecture. If $U\subseteq A$ is an Artin generating set with $R_S=R_U$, then $S$ and $U$ are twist equivalent.

Weak twist conjecture. If $U\subseteq A$ is an Artin generating set with $R_S=R_U$, then $\Gamma_S$ and $\Gamma_U$ are twist equivalent.

Torus-link/circular-group isomorphism conjecture. For all $n,m\in\mathbb{N}^*$, this morphism is an isomorphism. The claim generalises the previously established coprime case; the…