The strong closing lemma and Hamiltonian pseudo-rotations

2022/10/03 by Erman Çınelı, Cineli, Erman, Sobhan Seyfaddini +1 · 1 citation
Mathematics · #Advanced Topology and Set Theory #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.2210.00771

openalex publication_date 2022/10/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove the strong C^∞ closing property, as formulated by Irie, for a class of Hamiltonian diffeomorphisms which includes all pseudo-rotations of projective spaces as well as all Anosov-Katok pseudo-rotations.

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• Orbifold Floer spectral invariants, symmetric product links and Weyl laws

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