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

Arthur Melo, Vinicius G. B. Ramos, Alejandro Vicente

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 isoto…