2 problems

Let $M$ be the compact $3$-manifold, let $\mathcal F$ be a taut foliation of $M$, and let $S$ be a fully marked surface, meaning that its Euler characteristic is given by pairing w…

Let a surface in a 4-manifold be specified by its homology class and genus. Conjecture. Such simple criteria are never sufficient to determine the surface up to isotopy in the smoo…