Packing stability for symplectic 4-manifolds.

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Date
2016-11
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English
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Abstract

The packing stability in symplectic geometry was first noticed by Biran (1997): the symplectic obstructions to embed several balls into a manifold disappear when their size is small enough. This phenomenon is known to hold for all closed manifolds with rational symplectic class, as well as for all ellipsoids. In this note, we show that packing stability holds for all closed, and several open, symplectic $ 4$-manifolds.

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Buse, O., Hind, R., & Opshtein, E. (2016). Packing stability for symplectic 4-manifolds. Transactions of the American Mathematical Society, 368(11), 8209-8222.
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Transactions of the American Mathematical Society
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