2 problems

Let $S$ be a smooth symplectic surface in $\mathbb{C}\textup{P}^2$. Two such surfaces are symplectically isotopic if they are connected by an isotopy through smooth symplectic surf…

Mapping-degree conjecture. The set $D\left((\mathbb{C}P^2)^{\sharp\,6},(\mathbb{C}P^2)^{\sharp\,6}\right)$ is the set of integers that can be written as sums of squares.