Symplectic packing in dimension 4

Mathematics – Algebraic Geometry

Scientific paper

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12 pages, written in Amslatex. (A few mathematical typos fixed)

Scientific paper

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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