3 problems

Bennequin-Eliashberg sharpness conjecture. A transverse link $K$ achieves equality in the Bennequin-Eliashberg bound if and only if $K$ is strongly quasipositive.

Conjecture prime. If $\delta(\mathcal{T},\alpha)=0$, so that the Bennequin–Eliashberg inequality is sharp on $(\mathcal{T},\alpha)$, then $\mathcal{T}$ is represented by an…

Stronger Form of Conjecture 2. For a transverse link $\mathcal{T}$ in $(S^3,\xi_{std})$, the Bennequin inequality is sharp if and only if $\mathcal{T}$ is represented by a strongly…