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A Lower Bound of the Hofer-Zehnder Capacity via Delzant Polytopes (2312.09526v2)
Published 15 Dec 2023 in math.SG
Abstract: Given a symplectic toric manifold, the moment maps of sub-circle actions can be modified to be admissible functions in the sense of Hofer-Zehnder. By exploiting the relationship between the period of Hamiltonian sub-circle actions of a symplectic toric manifold and its Delzant polytope, we develop an invariant of Delzant polytopes which gives a lower bound of the Hofer-Zehnder capacity.
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