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Ellipsoid embeddings and symplectic packing stability

Published online by Cambridge University Press:  04 March 2013

O. Buse
Affiliation:
IUPUI Department of Mathematical Sciences, 402 N. Blackford St., Indianapolis, IN 46202, USA email buse@math.iupui.edu
R. Hind
Affiliation:
University of Notre Dame, Department of Mathematics, 255 Hurley, Notre Dame, IN 46556, USA email Richard.K.Hind.1@nd.edu
Corresponding
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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.

Type
Research Article
Copyright
© The Author(s) 2013 

References

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Ellipsoid embeddings and symplectic packing stability
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