Emmanuel Opshtein
Abstract
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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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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.
Key concepts: Symplectic geometry, Symplectic manifold, Symplectic representation, Symplectomorphism, Pure mathematics, Mathematics, Symplectic vector space, Moment map