3 problems

Let $L_1\subset T^2\times I$ and $L_2\subset T^2\times I$ be an $m_1\times n$ swatch and an $m_2\times n$ swatch, respectively, where $m_1,m_2,n\in\{1,2,\ldots\}$. Let $H$ be the H…

Let $L_1,L_2\subset T^2\times I$ be swatches such that the corresponding links $H\cup f(L_1)\subset S^3$ and $H\cup f(L_2)\subset S^3$ are three-component hyperbolic links. Let…

Let $L\thinspace\subset T^2\times I$ be an $m\times n$ swatch, and let $H$ be the Hopf link used to form the corresponding link $H\cup f(L)\subset S^3$. A swatch is reducible in te…