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arxiv: 1404.4183 · v1 · pith:5FFDD2HZnew · submitted 2014-04-16 · 🧮 math.SG

Packing stability for symplectic 4-manifolds

classification 🧮 math.SG
keywords symplecticmanifoldspackingstabilityassumptionballsbeyondbiran
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We show that all closed symplectic 4-manifolds have the packing stability property: there are no obstructions beyond volume to embedding a collection of sufficiently small balls. This generalizes a theorem of Biran which gives the same result under the assumption that the symplectic form lies in a rational cohomology class.

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