5 problems

Penner's conjecture. Every pseudo-Anosov mapping class has a positive power obtained from Penner's construction.

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

For $m,n \ge 1$, define the braid in $B_{m+n+1}$ by … A braid is order-preserving if its associated automorphism of the free group preserves a bi-ordering. Non-order-preservation c…

Let $\delta_g^+$ be the minimum dilatation for orientable pseudo-Anosov mapping classes on the closed surface of genus $g$. For a polynomial $p(t)$, let … and define … The Lanneau–…

Let $S$ be a closed surface and let $\phi$ be a pseudo-Anosov mapping class with dilatation $\lambda(\phi)$. For a fibered cohomology class, let $L(S,\phi)$ denote the correspondin…