, Volume 172, Issue 3, pp 477-489
Date: 09 Jan 2008

Symplectic embeddings of polydisks

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If P and P are symplectic polydisks of radii R 1≤...≤R n and R 1 ≤...≤R n , respectively, then we prove that P symplectically embeds in P provided that C(n)R 1R 1 and C(n)R 1...R n R 1 ...R n . Up to a constant factor, these conditions are optimal.