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July 2011 The Hofer Conjecture on Embedding Symplectic Ellipsoids
Dusa McDuff
J. Differential Geom. 88(3): 519-532 (July 2011). DOI: 10.4310/jdg/1321366358

Abstract

In this note we show that one open 4-dimensional ellipsoid embeds symplectically into another if and only if the ECH capacities of the first are no larger than those of the second. This proves a conjecture due to Hofer. The argument uses the equivalence of the ellipsoidal embedding problem with a ball embedding problem that was recently established by McDuff. Its method is inspired by Hutchings’ recent results on embedded contact homology (ECH) capacities but does not use them.

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Dusa McDuff. "The Hofer Conjecture on Embedding Symplectic Ellipsoids." J. Differential Geom. 88 (3) 519 - 532, July 2011. https://doi.org/10.4310/jdg/1321366358

Information

Published: July 2011
First available in Project Euclid: 15 November 2011

zbMATH: 1239.53109
MathSciNet: MR2844441
Digital Object Identifier: 10.4310/jdg/1321366358

Rights: Copyright © 2011 Lehigh University

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Vol.88 • No. 3 • July 2011
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