4 problems

Normal generation conjecture. For all but finitely many primitive classes $(S_\alpha,\psi_\alpha)\in\mathscr{C}_F$, $\psi_\alpha$ normally generates $\operatorname{Mod}(S_\alpha)$.

Optimality conjecture. For $r>1$, this is also the optimal asymptotic upper bound. In particular, there should be examples attaining the corresponding lower order $g^{-1-1/r}$ alon…

N(1)-fibration asymptotic conjecture.

Let $M$ be a $4$-manifold with a free circle action and orbit space $N$, and let $p\colon M\to N$ be the orbit map. A symplectic form is a closed, non-degenerate $2$-form. If $M$ a…