4 problems

Let $T^3=\boldsymbol{R}^3/\boldsymbol{Z}^3$ and suppose $n_x>0$, $n_y<0$, and $n_z>0$. Let $M_{n_x,n_y,n_z}$ be the result of the specified surgeries on the coordinate curves, with…

A veering triangulation $\Delta$ on an oriented $3$-manifold $N$ determines a transitive pseudo-Anosov flow $\phi^t(\Delta,M)$ on a closed oriented $3$-manifold $M$, and a transiti…

Let $M$ be a mapping torus equipped with a veering triangulation. A minimum weight sector is a sector of minimum weight in the associated veering data, and the hypothesis of … is s…

Let $M$ be the manifold under consideration, let $\alpha$ denote the relevant veering structure, and let $S^2(\alpha)$ be the veering sphere constructed from it. Let…