Symplectic embeddings of products

Abstract

McDuff and Schlenk determined when a four-dimensional ellipsoid can be symplectically embedded into a four-dimensional ball, and found that when the ellipsoid is close to round, the answer is given by an "infinite staircase" determined by the odd-index Fibonacci numbers. We show that this result still holds in higher dimensions when we "stabilize" the embedding problem.

References in corpus (2)

• Ehrhart polynomials and symplectic embeddings of ellipsoids
• Some optimal embeddings of symplectic ellipsoids

Cited by in corpus (2)

• Symplectic embeddings of four-dimensional ellipsoids into integral polydiscs
• Essential tori in spaces of symplectic embeddings