3 problems

Let $M$ be an arithmetic closed hyperbolic surface bundle, and let the fiber have genus $2$. Fiber-genus-2 extension conjecture. Theorem should hold for this case as well. The conj…

Volodin–Kuznetsov–Fomenko conjecture. The only waveless diagram for $S^3$ in any given genus $g$ is the standard one.

Let $M$ be a compact connected orientable $3$-manifold. The Matveev complexity $c(M)$ and the modified Heegaard complexity $\widetilde{c}(M)$ are defined by minimizing the correspo…