Higher index symplectic capacities do not satisfy the symplectic Brunn-Minkowski inequality

被引：2
|
作者：
Kerman, Ely [1 ]
Liang, Yuanpu [1 ]
机构：
[1] Univ Illinois, Dept Math, 1409 West Green St, Urbana, IL 61801 USA
来源：
ISRAEL JOURNAL OF MATHEMATICS | 2021年 / 245卷 / 01期
关键词：
TOPOLOGY;
D O I：
10.1007/s11856-021-2172-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In [1], Artstein-Avidan and Ostrover establish a symplectic version of the classical Brunn-Minkowski inequality where the role of the volume is played by the Ekeland-Hofer-Zehnder capacity. Here we prove that this symplectic Brunn-Minkowski inequality fails to hold for all of the higher index symplectic capacities defined by Gutt and Hutchings in [5].
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页码：27 / 38
页数：12
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