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arXiv · 2606.02452

Symplectic capacities of $S^1$-invariant dynamically convex domains in $\mathbb{R}^4$

Arthur Melo·Vinicius G. B. Ramos·Alejandro Vicente
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Abstract

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.

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Arthur Melo, Vinicius G. B. Ramos, Alejandro Vicente. 2026-06-01. Symplectic capacities of $S^1$-invariant dynamically convex domains in $\mathbb{R}^4$. https://arxiv.org/abs/2606.02452

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