7 problems

Let $(M,\omega)$ be a closed symplectic manifold. Write $G_{\omega}(M)$ for the identity component of the group of symplectic diffeomorphisms, and let $SG_{\omega}(M)$ be the group…

Let $(M,\omega)$ be a closed connected symplectic manifold. Write $SSympeo(M,\omega)$ for the group of strong symplectic homeomorphisms, and let $Sympeo_0(M,\omega)$ be the identit…

Let $(M,c11)$ be a closed connected symplectic manifold. Write $SSympeo(M,c11)$ for the group of strong symplectic homeomorphisms and $Hameo(M,c11)$ for its normal subgroup of Hami…

A symplectic disc is a smoothly embedded two-dimensional disc in the standard symplectic manifold $\mathbb C^3$, while a smooth isotropic disc is a smoothly embedded disc whose tan…

Let $(M,\omega)$ be a symplectic manifold and let $L$ be a closed Lagrangian submanifold. Its area homomorphism is … which assigns to a relative homology class represented by a smo…

Let $h$ be a symplectic homeomorphism that sends a coisotropic submanifold $C$ to a smooth, hence coisotropic, submanifold, and let $\hat h$ be its reduction. Let $k$ be the codime…

Let $M$ be a symplectic manifold and let $\overline d$ be the $C^0$ metric on $Homeo(M)$, extended to paths by the supremum metric. Let $D$ be the distance on symplectic isotopies…