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Bibliographic Details
Main Authors: Melo, Arthur, Ramos, Vinicius G. B., Vicente, Alejandro
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2606.02452
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Table of Contents:
  • In this paper, we prove that all normalized symplectic capacities agree for dynamically convex domains in $\mathbb{C}^2$ that are invariant under any Hamiltonian $S^1$-action isotopic to the Hopf diagonal action. We also give necessary and sufficient conditions for $S^1$-invariant domains to be dynamically convex.