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

F.J. Ziltener

doi:10.1007/s11784-022-00961-w

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

F.J. Ziltener^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

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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.

Original language	English
Article number	40
Pages (from-to)	1-10
Number of pages	10
Journal	Journal of Fixed Point Theory and Applications
Volume	24
DOIs	https://doi.org/10.1007/s11784-022-00961-w
Publication status	Published - 19 Apr 2022

Keywords

Symplectic embedding
section of embedding
wrapping construction

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

Abstract

Keywords

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