Symplectic embeddings of polydisks
Abstract
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.
 Publication:

Inventiones Mathematicae
 Pub Date:
 January 2008
 DOI:
 10.1007/s0022200701039
 arXiv:
 arXiv:0709.1957
 Bibcode:
 2008InMat.172..477G
 Keywords:

 Mathematics  Symplectic Geometry;
 53D35
 EPrint:
 12 pages, 4 figures, Figure 3 corrected