A symplectic embedding of the cube with minimal sections and a question by Schlenk
arXiv:1905.05554
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.
9 pages, 3 figures