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

Published 26 Oct 2020 in math.SG | (2010.13603v1)

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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