7 problems

Crossing-number bound conjecture. The bound

Separating-module conjecture. The failure to distinguish $8^{-1,-1}_1$ and $10^{-2,-2}_1$ is a consequence of the computational limitation to bikei and rings of small cardinality;…

A marked graph diagram is a diagram representing a marked graph, and a surface link is an isotopy class of surfaces embedded in ${\mathbb R}^4$. Yoshikawa's conjecture. The specifi…

Shadow-diagram move conjecture. The diagrams $\mathfrak D^1$ and $\mathfrak D^2$ can be related by a finite sequence of moves, each of which is one of the listed types.

Bridge-trisection stabilization conjecture. There are diffeomorphic bridge trisections $\mathbb T_1'$ and $\mathbb T_2'$ such that, for $\varepsilon\in\{1,2\}$,…

Classification conjecture. Every $(2,0;2)$-bridge trisection is diffeomorphic to one of those described in Example and Figure.

Classification conjecture. There are exactly three, up to mirroring, totally irreducible $(2,0;1)$-bridge trisections.