Symplectic embeddings of polydisks

Details Symplectic embeddings of polydisks Symplectic embeddings of polydisks

2007-09-12

arxiv.org/abs/0709.1957v2

Mathematics

Symplectic Geometry

12 pages, 4 figures, Figure 3 corrected

Scientific paper

10.1007/s00222-007-0103-9

If P is a polydisk with radii R_1 < ... < R_n 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) R_1 < R'_1 and C(n) R_1 ... R_n < C(n) R'_1 ... R'_n. Up to
a constant factor, these conditions are optimal.

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