A symplectic embedding of the cube with minimal sections and a question by Schlenk
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🧮 math.SG
keywords
cubequestionschlenksectionanswersareaboundcomplement
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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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