Symplectic embeddings of products
Daniel Cristofaro-Gardiner
University of California at Santa Cruz, USARichard Hind
University of Notre Dame, USA
![Symplectic embeddings of products cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserials%2Fcover-cmh.png&w=3840&q=90)
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.
Cite this article
Daniel Cristofaro-Gardiner, Richard Hind, Symplectic embeddings of products. Comment. Math. Helv. 93 (2018), no. 1, pp. 1–32
DOI 10.4171/CMH/427