Ellipsoid embeddings and symplectic packing stability

Details Ellipsoid embeddings and symplectic packing stability Ellipsoid embeddings and symplectic packing stability

2011-12-06

arxiv.org/abs/1112.1149v1

Mathematics

Symplectic Geometry

18 pages, 3 figures

Scientific paper

We prove packing stability for any closed symplectic manifold with rational cohomology class. This will rely on a general symplectic embedding result for ellipsoids which assumes only that there is no volume obstruction and that the domain is sufficiently thin relative to the target. We also obtain easily computable bounds for the Embedded Contact Homology capacities which are sufficient to imply the existence of some volume preserving embeddings in dimension 4.

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