Symplectic capacities of $S^1$-invariant dynamically convex domains in $\mathbb{R}^4$
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866917556204339200 |
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| author | Melo, Arthur Ramos, Vinicius G. B. Vicente, Alejandro |
| author_facet | Melo, Arthur Ramos, Vinicius G. B. Vicente, Alejandro |
| 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2606_02452 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Symplectic capacities of $S^1$-invariant dynamically convex domains in $\mathbb{R}^4$ Melo, Arthur Ramos, Vinicius G. B. Vicente, Alejandro Symplectic Geometry 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. |
| title | Symplectic capacities of $S^1$-invariant dynamically convex domains in $\mathbb{R}^4$ |
| topic | Symplectic Geometry |
| url | https://arxiv.org/abs/2606.02452 |