Mathematics – Symplectic Geometry
Scientific paper
2011-12-06
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.
Buse Olguta
Hind Richard
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