English

Symplectic embeddings of polydisks

Symplectic Geometry 2009-11-13 v2

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.

Keywords

Cite

@article{arxiv.0709.1957,
  title  = {Symplectic embeddings of polydisks},
  author = {Larry Guth},
  journal= {arXiv preprint arXiv:0709.1957},
  year   = {2009}
}

Comments

12 pages, 4 figures, Figure 3 corrected

R2 v1 2026-06-21T09:16:57.763Z