4 problems

Let $M$ be a smooth compact manifold, let $R$ be a commutative ring, and equip $\mathcal W(T^*M;R)$ with its canonical grading and orientation data. Let $H^*(M;R)$ be the cohomolog…

Let $M$ be a smooth manifold, and let $\operatorname{Cuplength}(M)$ denote the cuplength of $H^*(M;k)$ for any field $k$. Let $\mathcal C(M)$ denote the wrapped Fukaya category ass…

Let $L$ be a compact nondisplaceable monotone Lagrangian submanifold of a tame symplectic manifold $(M,\omega)$, let $\varphi\in\mathcal{H}am_c(M,\omega)$, and let $\mathbb{F}$ be…

The cuplength Lagrangian Arnold conjecture. Without assuming that $L$ and $\varphi(L)$ intersect transversely, the number of intersection points is at least $cl(L)$. The source say…