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arXiv · 1508.02659

Symplectic embeddings of products

D. Cristofaro-Gardiner·R. Hind
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Abstract

McDuff and Schlenk determined when a four-dimensional ellipsoid can be symplectically embedded into a four-dimensional ball, and found that when the ellipsoid is close to round, the answer is given by an "infinite staircase" determined by the odd-index Fibonacci numbers. We show that this result still holds in higher dimensions when we "stabilize" the embedding problem.

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D. Cristofaro-Gardiner, R. Hind. 2015-08-11. Symplectic embeddings of products. https://arxiv.org/abs/1508.02659

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