English

Symplectic embeddings of products

Symplectic Geometry 2015-08-12 v1

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.

Keywords

Cite

@article{arxiv.1508.02659,
  title  = {Symplectic embeddings of products},
  author = {D. Cristofaro-Gardiner and R. Hind},
  journal= {arXiv preprint arXiv:1508.02659},
  year   = {2015}
}