2 problems

A second-order Lissajous knot is a knot $K$ represented parametrically by … … where $n_1,n_2,n_3,n_4$ are integer frequencies, $\phi_1,\phi_2,\phi_3,\phi_4$ are real phase shifts,…

Let $K$ be a slice knot, and let $F$ be a genus-one Seifert surface for $K$. For a simple closed curve $d$ on $F$, write $d^+$ for its positive push-off and define its self-linking…