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arXiv · 2312.09526

A Lower Bound of the Hofer-Zehnder Capacity via Delzant Polytopes

Yichen Liu
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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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Yichen Liu. 2023-12-15. A Lower Bound of the Hofer-Zehnder Capacity via Delzant Polytopes. https://arxiv.org/abs/2312.09526

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