4 problems

Let $X$ and $X'$ be Liouville sectors, and write $SC^\bullet(X,\partial X)$ for the symplectic cochain complex relative to the boundary. Symplectic cohomology Künneth conjecture. T…

Let $X$ and $X'$ be Liouville sectors, and let $\mathcal W(X)$ and $\mathcal W(X')$ denote their wrapped Fukaya $A_\infty$-categories. Künneth conjecture. There is a natural cohomo…

Let $Y$ be a fully stopped Liouville sector, and let $F$ be a Liouville manifold. Converse conjecture. If $Y$ is fully stopped, then $Y$ is deformation equivalent to…

Let $X$ and $X'$ be Liouville sectors that are fully stopped, meaning that their ideal boundaries admit cutoff contact Hamiltonians whose associated Reeb vector fields have no peri…