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arxiv: 1011.6358 · v1 · pith:LS7S7CFWnew · submitted 2010-11-29 · 🧮 math.SG

Singular polarizations and symplectic embeddings

classification 🧮 math.SG
keywords symplecticsingularanaloguedimensionaldonaldsonellipsoidsembeddingsessentially
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We prove in this paper that any 4-dimensional symplectic manifold is essentially made of finitely many symplectic ellipsoids. The key tool is a singular analogue of Donaldson's symplectic hypersurfaces in irrational symplectic manifolds.

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