Inventiones mathematicae

, Volume 172, Issue 3, pp 477–489 | Cite as

Symplectic embeddings of polydisks

  • Larry Guth


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 1R 1 and C(n)R 1...R n R 1 ...R n . Up to a constant factor, these conditions are optimal.


Boundary Component Symplectic Form Double Point Main Lemma Symplectic Geometry 
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Copyright information

© Springer-Verlag 2008

Authors and Affiliations

  1. 1.Department of MathematicsStanford UniversityStanfordUSA

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