On the symplectic size of convex polytopes
Pazit Haim-Kislev
本文引入了一个计算$\mathbb{R}^{2n}$中凸多胞体Ekeland-Hofer-Zehnder容量的组合公式，并证明了该容量的次可加性。
在本文中，我们引入了一个关于$\mathbb{R}^{2n}$中凸多胞体的Ekeland-Hofer-Zehnder容量的组合公式。该公式的一个应用是该容量的某种次可加性。
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.
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We discuss a symplectic counterpart of the theory of stacky fans. First, we define a stacky polytope and construct the symplectic Deligne-Mumford stack associated to the stacky polytope. Then we establish a relation between stacky polytopes and stacky fans: the stack associated to a stacky polytope is equivalent to the stack associated to a stacky fan if the stacky fan corresponds to the stacky polytope.
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