2 problems

Donald's conjecture. For any $k\geqslant 0$, one can bound $\|\tilde{\omega}\|_{C^k(M,g)}$ by a constant depending only on $k$ and on bounds for $\sigma$, $\omega$, and $(M,J)$, wh…

Let $(M,\omega)$ be a compact symplectic manifold of real dimension $4$, equipped with an almost complex structure $J$ tamed by $\omega$. Let $\tilde{\omega}$ be another symplectic…