Symplectic packings in dimension 4 and singular curves

Details Symplectic packings in dimension 4 and singular curves Symplectic packings in dimension 4 and singular curves

2011-10-11

arxiv.org/abs/1110.2385v1

Mathematics

Symplectic Geometry

Scientific paper

The main goal of this paper is to give constructive proofs of several existence results for symplectic embeddings. The strong relation between symplectic packings and singular symplectic curves, which can be derived from McDuff's inflations on the blow-ups, is revisited through a new inflation technique that lives at the level of the manifold. As an application, we explain constructions of maximal symplectic packings of $P^2$ by 6, 7 or 8 balls.

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