A note on the representability of a certain Hamiltonian capacity

2018/05/23 by Dragomir Dragnev, Dragnev, Dragomir L.
Mathematics · #Advanced Operator Algebra Research #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.1805.09054

openalex publication_date 2018/05/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note we establish a representation property for a certain Hamiltonian capacity on \R²ⁿ with the standard symplectic structure. We demonstrate that the value of this capacity on an open set with a contact type boundary is an element of the action spectrum of the boundary.

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