3 problems

Let \rho:\pi_1(\text{\boldmathT})\to PSL(2,\mathbb{C}) be a type-preserving representation such that its end-invariant set satisfies $\mathcal{E}(\rho)=\Lambda(\hat\Gamma_r)$.…

Let $L$ be a 2-bridge link, with stick number $s(L)$ and crossing number $c(L)$, where $s(L)$ is the fewest number of line segments needed to represent $L$ piecewise-linearly and…

Converse conjecture. Every composite link with H(2)-unknotting number one has the form described in Proposition.