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- Title
Ellipsoid embeddings and symplectic packing stability.
- Authors
Buse, O.; Hind, R.
- Abstract
We prove packing stability for rational symplectic manifolds. 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 symplectic volume filling embeddings in dimension 4.
- Subjects
ELLIPSOIDS; EMBEDDINGS (Mathematics); STABILITY theory; MATHEMATICAL proofs; SYMPLECTIC manifolds
- Publication
Compositio Mathematica, 2013, Vol 149, Issue 5, p889
- ISSN
0010-437X
- Publication type
Article
- DOI
10.1112/S0010437X12000826