Middle-dimensional squeezing and non-squeezing behavior of symplectomorphisms
Symplectic Geometry
2012-02-20 v2
Abstract
After reformulating Gromov's non-squeezing theorem as an area-inequality, we discuss a seemingly natural higher dimensional generalization.
Cite
@article{arxiv.1105.2931,
title = {Middle-dimensional squeezing and non-squeezing behavior of symplectomorphisms},
author = {Alberto Abbondandolo and Slava Matveyev},
journal= {arXiv preprint arXiv:1105.2931},
year = {2012}
}
Comments
The results of this preprint are contained in the more recent paper "How large is the shadow of a symplectic ball?", arXiv:1202.3614v1 [math.SG], which contains also new results. This older version will not be updated nor submitted to a journal