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arXiv · 1905.05554

A symplectic embedding of the cube with minimal sections and a question by Schlenk

Fabian Ziltener
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Abstract

I prove that the open unit cube can be symplectically embedded into a longer polydisc in such a way that the area of each section satisfies a sharp bound and the complement of each section is path-connected. This answers a variant of a question by F. Schlenk.

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Fabian Ziltener. 2019-05-14. A symplectic embedding of the cube with minimal sections and a question by Schlenk. https://arxiv.org/abs/1905.05554

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