On the symplectic size of convex polytopes

Abstract

In this paper we introduce a combinatorial formula for the Ekeland-Hofer-Zehnder capacity of a convex polytope in ${\mathbb{R}}^{2n}$. One application of this formula is a certain subadditivity property of this capacity.

References in corpus (2)

• When symplectic topology meets Banach space geometry
• Estimating symplectic capacities from lengths of closed curves on the unit spheres

Cited by in corpus (3)

• Combinatorial formulas for some generalized Ekeland-Hofer-Zehnder capacities of convex polytopes
• Computing Reeb dynamics on 4d convex polytopes
• Coisotropic Hofer-Zehnder capacities of convex domains and related results