2 problems

Let $\mathcal{F}$ be a taut foliation of an atoroidal 3-manifold $M$ which is not $\mathbb{R}$-covered. Let $\mathrm{PA}(\mathcal{F})$ be the set of pseudo-Anosov flows almost tran…

Let $M$ be a hyperbolic 3-manifold, let $Z^\pm$ be a zipper or P-zipper for $M$, and let $S^1_{\mathrm{univ}}$ be its universal circle. The group $\pi_1(M)$ acts on…