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Title:
Computing EHZ Capacities Of 4d Polytopes
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Abstract:
The Ekeland-Hofer-Zehnder of a convex domain with smooth boundary in R^2n is the minimal symplectic action of a Reeb orbit on the boundary. This capacity extends uniquely to C^0 convex domains such as polytopes. It was proven by Artstein-Avidan and Ostrover that this extended capacity can also be computed in terms of so-called "generalized Reeb orbits" that minimize action.
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