4 problems

Let $M^4$ be a four-manifold with a taut foliation ${\mathcal F}$, and let $J_{\mathcal F}$ be an almost-complex structure induced by ${\mathcal F}$. For an embedded surface $S$ in…

Let $M^4$ be a $4$-manifold, let ${\mathcal F}$ be a taut foliation on $M$, and let $J_{\mathcal F}$ be an almost-complex structure induced by ${\mathcal F}$. For an embedded surfa…

Let $(X,\omega)$ be a symplectic $4$-manifold, and let $\Sigma\subset (X,\omega)$ be a smoothly embedded symplectic surface. Genus is measured among smoothly embedded surfaces repr…

Adjunction conjecture for $s$.