Singular polarizations and symplectic embeddings

Details Singular polarizations and symplectic embeddings Singular polarizations and symplectic embeddings

2010-11-29

arxiv.org/abs/1011.6358v1

Mathematics

Symplectic Geometry

25 pages

Scientific paper

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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