Symplectic embeddings of polydisks
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- Guth, L. Invent. math. (2008) 172: 477. doi:10.1007/s00222-007-0103-9
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If P and P′ are symplectic polydisks of radii R1≤...≤Rn and R1′≤...≤Rn′, respectively, then we prove that P symplectically embeds in P′ provided that C(n)R1≤R1′ and C(n)R1...Rn≤R1′...Rn′. Up to a constant factor, these conditions are optimal.