Symplectic embeddings of polydisks
Abstract
If P is a polydisk with radii R1 < ... < Rn and P' is a polydisk with radii R'1 < ... < R'n, then we construct a symplectic embedding from P into P' provided that C(n) R1 < R'1 and C(n) R1 ... Rn < C(n) R'1 ... R'n. Up to a constant factor, these conditions are optimal.
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