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arXiv · 1102.5630

The generating function of the embedding capacity for 4-dimensional symplectic ellipsoids

David Bauer
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Abstract

Quite recently, McDuff showed that the existence of a symplectic embedding of one four-dimensional ellipsoid into another can be established by comparing their corresponding sequences of ECH capacities. In this note we show that these sequences can be encoded in a generating function, which gives several new equivalent formulations of McDuff's theorem.

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David Bauer. 2011-02-28. The generating function of the embedding capacity for 4-dimensional symplectic ellipsoids. https://arxiv.org/abs/1102.5630

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