Symplectic Packing in Dimension 4
Copyright policy )Symplectic Packing in Dimension 4
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 $N\geq 9$.
12 pages, written in Amslatex. (A few mathematical typos fixed)
symplectic packing, Mathematics - Differential Geometry, Mathematics - Algebraic Geometry, Differential Geometry (math.DG), Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces, General geometric structures on manifolds (almost complex, almost product structures, etc.), FOS: Mathematics, Gromov invariants, Algebraic Geometry (math.AG), blow-up
symplectic packing, Mathematics - Differential Geometry, Mathematics - Algebraic Geometry, Differential Geometry (math.DG), Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces, General geometric structures on manifolds (almost complex, almost product structures, etc.), FOS: Mathematics, Gromov invariants, Algebraic Geometry (math.AG), blow-up
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