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

DOI10.1007/s11856-021-2172-7zbMath1492.53098OpenAlexW3187034058MaRDI QIDQ2066127

Yuanpu Liang, Ely Kerman

Publication date: 13 January 2022

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-021-2172-7

zbMATH Keywords

Brunn-Minkowski inequalityEkeland-Hofer-Zehnder capacityGutt-Hutchings capacities

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Inequalities and extremum problems involving convexity in convex geometry (52A40) Global theory of symplectic and contact manifolds (53D35)

Related Items (2)

Examples around the strong Viterbo conjecture ⋮ Recognition of objects through symplectic capacities

Cites Work

• Unnamed Item
• Symplectic topology and Hamiltonian dynamics. II
• Symplectic topology and Hamiltonian dynamics
• Symplectic capacities from positive \(S^1\)-equivariant symplectic homology
• Closed-form characterization of the Minkowski sum and difference of two ellipsoids
• A Brunn-Minkowski Inequality for Symplectic Capacities of Convex Domains

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