We establish the uniqueness of the symplectic 4-manifolds which admit low degree symplectic embeddings into CP 3. We also discuss the uniqueness of the fundamental group of the complement of such embeddings into arbitrary symplectic 6-manifolds. 2000 Mathematics Subject Classification: Primary 57R17; Secondary 57R95.

In [15] the authors have introduced a new technique to produce symplectic manifolds. It consists on taking a symplectic non-free action of a finite group on a symplectic manifold and resolving symplectically the singularities of the quotient. This has allowed to show the first example of a non-formal simply connected compact symplectic manifold of dimension 8. Here we present another descriptio...

We introduce quasi-symplectic groupoids and explain their relation with momentum map theories. This approach enables us to unify into a single framework various momentum map theories, including ordinary Hamiltonian G-spaces, Lu’s momentum maps of Poisson group actions, and the group-valued momentum maps of Alekseev–Malkin–Meinrenken. More precisely, we carry out the following program: (1) We de...