2 problems

Let $L$ and $L'$ be Legendrian knots in the standard contact 3-sphere $(S^3,\xi_{st})$. Write $L(-1)$ and $L(+1)$ for the contact manifolds obtained by Legendrian $(-1)$- and…

A characterizing contact slope for a Legendrian knot is a contact surgery slope that distinguishes the knot from every Legendrian knot with contactomorphic surgery. The claim conce…