JournalscmhVol. 93, No. 1pp. 1–32

Symplectic embeddings of products

  • Daniel Cristofaro-Gardiner

    University of California at Santa Cruz, USA

  • Richard Hind

    University of Notre Dame, USA
Symplectic embeddings of products cover
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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