Geometric & Functional Analysis GAFA

, Volume 7, Issue 3, pp 420–437

Symplectic Packing in Dimension 4


  • P. Biran
    • P. Biran, School of Mathematical Sciences, Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv 69978, Israel, e-mail:

DOI: 10.1007/s000390050014

Cite this article as:
Biran, P. GAFA, Geom. funct. anal. (1997) 7: 420. doi:10.1007/s000390050014


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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© Birkhäuser Verlag, Basel 1997