A stability property of symplectic packing |
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Authors: | Paul Biran |
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Institution: | (1) Department of Mathematics, Stanford, CA 94305-2125, USA (e-mail address: biran@math.stanford.edu), IR |
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Abstract: | We prove that for any closed symplectic 4-manifold (M,Ω) with Ω]∈H
2(M, Q) there exists a number N
0 such that for every N≥N
0, (M,Ω) admits full symplectic packing by N equal balls. We also indicate how to compute this N
0. Our approach is based on Donaldson's symplectic submanifold theorem and on tools from the framework of Taubes theory of
Gromov invariants.
Oblatum 9-I-1998 & 1-VII-1998 / Published online: 14 January 1999 |
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Keywords: | |
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