Singular polarizations and symplectic embeddings

Abstract

We prove in this paper that any 4-dimensional symplectic manifold is essentially made of finitely many symplectic ellipsoids. The key tool is a singular analogue of Donaldson's symplectic hypersurfaces in irrational symplectic manifolds.

25 pages

Cited by in corpus (1)

• On exotic monotone Lagrangian tori in $\mathbb{C}{P}^2$ and $S^2\times S^2$