2 problems

Let $p$ and $k$ be relatively prime positive integers. Let $K_{p,k}$ be the lens space knot in the homology sphere $Y_{p,k}$ dual to a simple $(1,1)$-knot in a lens space, with par…

Let $\Sigma(2,3,5)$ be the Poincare homology sphere, let $K\subset\Sigma(2,3,5)$ be a knot, and suppose … For $h\in\mathcal{H}(p,K)$, where $\mathcal{H}(p,K)$ is the set defined in…