4 problems

Let $L$ be a hyperbolic link in $S^3$, let $J_{L,m}(t)$ be its $m$-colored Jones polynomial, and let $\operatorname{Vol}(S^3{\smallsetminus} L)$ be the hyperbolic volume of its com…

Let $\mathcal{L}$ be a hyperbolic link in $S^3$, and let $J_N(\mathcal{L};q)$ denote its $N$-colored Jones polynomial evaluated at a root of unity $q$. Volume conjecture. … This is…

Let $L$ be a hyperbolic link in $\mathbb S^3$, and let $J_{\vec N}(L,t)$ denote its colored Jones polynomial with all components colored by $N$. New-root hyperbolic-link volume con…

Morifuji–Tran conjecture. The polynomial determines the Thurston norm, namely,