Higher index capacities do not satisfy the symplectic Brunn-Minkowski inequality
Symplectic Geometry
2020-10-27 v1
Abstract
In this paper we prove that the symplectic Brunn-Minkowski inequality, established by Artstein-Avidan and Ostrover for the Ekeland-Hofer-Zehnder capacity, fails to hold for the Gutt-Hutchings capacities of index greater than one.
Keywords
Cite
@article{arxiv.2010.13603,
title = {Higher index capacities do not satisfy the symplectic Brunn-Minkowski inequality},
author = {Ely Kerman and Yuanpu Liang},
journal= {arXiv preprint arXiv:2010.13603},
year = {2020}
}
Comments
9 pages, 1 figure, to appear in the Israel Journal of Mathematics