Some optimal embeddings of symplectic ellipsoids

Abstract

We construct symplectic embeddings of ellipsoids of dimension $2n\ge 6$ into the product of a 4-ball or 4-dimensional cube with Euclidean space. A sequence of these embeddings can be shown to be optimal.

References in corpus (4)

• Symplectic embeddings of 4-dimensional ellipsoids: erratum
• Symplectic embeddings into four-dimensional concave toric domains
• Symplectic embeddings of polydisks
• Symplectic embeddings of 4-dimensional ellipsoids into cubes

Cited by in corpus (9)

• The ghost stairs stabilize to sharp symplectic embedding obstructions
• Symplectic embeddings of four-dimensional ellipsoids into integral polydiscs
• Higher symplectic capacities
• Irreversibility from staircases in symplectic embeddings
• On the stabilized symplectic embedding problem for ellipsoids
• The stabilized symplectic embedding problem for polydiscs
• Symplectic embeddings of products
• Higher Symplectic Capacities and the Stabilized Embedding Problem for Integral Ellipsoids
• Remarks on Symplectic Geometry