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Symplectic Ball Packing


A symplectic ball packing is a collection of symplectic embeddings of disjoint standard symplectic balls into a symplectic manifold. A symplectic embedding preserves the symplectic two-form; it is not required to preserve the Euclidean distance. The standard ball B^(2n)(R) has Euclidean radius sqrt(R/pi) and the standard symplectic form, so R is its capacity parameter.


See also

Ball, Gromov Width, Symplectic Manifold, Symplectic Map

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References

Schlenk, F. "Symplectic Embedding Problems, Old and New." Bull. Amer. Math. Soc. 55, 139-182, 2018. https://doi.org/10.1090/bull/1587.

Cite this as:

Weisstein, Eric W. "Symplectic Ball Packing." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/SymplecticBallPacking.html

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