A symplectic embedding of the cube with minimal sections and a question by Schlenk
Symplectic Geometry
2019-05-15 v1
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.
Cite
@article{arxiv.1905.05554,
title = {A symplectic embedding of the cube with minimal sections and a question by Schlenk},
author = {Fabian Ziltener},
journal= {arXiv preprint arXiv:1905.05554},
year = {2019}
}
Comments
9 pages, 3 figures