Symplectic embeddings of polydisks |
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Authors: | Larry Guth |
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Affiliation: | (1) Department of Mathematics, Stanford University, Stanford, CA 94305, USA |
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Abstract: | 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 1≤R 1 ′ and C(n)R 1...R n ≤R 1 ′...R n ′. Up to a constant factor, these conditions are optimal. |
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