2 problems

Let $T$ be a convex incompressible torus in a tight contact 3-manifold $(Y,\xi)$ such that every toric annulus neighborhood of $T$ with convex boundary is universally tight. Conjec…

Let $(Y,\xi)$ be a contact 3-manifold. The binding number $bn(\xi)$ is the minimal number of binding components among open books supporting $\xi$ whose pages have minimal genus. Th…