Sharp symplectic embeddings of cylinders

Álvaro Pelayo (1) , San Vu Ngoc (2)

1 WUSTL - Washington University in Saint Louis
2 IRMAR - Institut de Recherche Mathématique de Rennes

We show that the cylinder Z^{2n}(1):= B^2(1)\times \mathbb{R}^{2(n-1)} embeds symplectically into B^4(R) \times \mathbb{R}^{2(n-2)} if R \geq \sqrt{3}.

Mots clés: symplectic geometry; embedding; symplectic capacity

Domaines: Géométrie symplectique [math.SG]

Álvaro Pelayo, San Vu Ngoc. Sharp symplectic embeddings of cylinders. Indagationes Mathematicae, 2016, 27 (1), pp.307-317. ⟨10.1016/j.indag.2015.10.013⟩. ⟨hal-00833211⟩