4 problems

Let $X$ be a symplectic $4$-manifold, let $f$ be a sufficiently high-degree pencil on $X$, and let $\mathcal{I}_f$ denote the integer-valued invariants counting sections of the ass…

Let $X$ be a Weinstein domain, and let $X'$ be obtained from $X$ by attaching subcritical or flexible Weinstein handles. Let $I^{\leq l}(X)$ denote the invariant defined in the pap…

For each Markov triple $(a,b,c)\in\mathfrak M$, let $T_{a,b,c}\subset\mathbb{C}P^2$ be Vianna's monotone Lagrangian torus, and let ${\frak w}_{\text{DW}}(T_{a,b,c};\mathbb{C}P^2)$…

Symplectic-invariant conjecture.