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math.SG2013
Sharp symplectic embeddings of cylinders
Álvaro Pelayo, San Vũ Ngoc
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}.
math.SG2012★ 1 cited
Log-concavity and symplectic flows
Yi Lin, Álvaro Pelayo
Let M be a compact, connected symplectic 2n-dimensional manifold on which an(n-2)-dimensional torus T acts effectively and Hamiltonianly. Under the assumption that there is an effe…