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arXiv · 2010.13603

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

Ely Kerman·Yuanpu Liang
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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.

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Ely Kerman, Yuanpu Liang. 2020-10-26. Higher index capacities do not satisfy the symplectic Brunn-Minkowski inequality. https://arxiv.org/abs/2010.13603

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