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arxiv: dg-ga/9606001 · v2 · submitted 1996-06-06 · dg-ga · alg-geom· math.AG· math.DG

Symplectic packing in dimension 4

classification dg-ga alg-geommath.AGmath.DG
keywords symplecticballsequalmanifoldsadmitclosedcorollarycriterion
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We discuss closed symplectic 4-manifolds which admit full symplectic packings by $N$ equal balls for large $N$'s. We give a homological criterion for recognizing such manifolds. As a corollary we prove that ${\Bbb C}P^2$ can be fully packed by $N$ equal balls for every $N\geq 9$.

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