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arxiv: 1402.7099 · v1 · pith:ZSORQZPXnew · submitted 2014-02-27 · 🧮 math.SG

Overtwisted Disks and Exotic Symplectic Structures

classification 🧮 math.SG
keywords euclideanexoticsymplecticcontactovertwistedspacestructurestructures
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The symplectization of an overtwisted contact structure in Euclidean 3--space is shown to be an exotic symplectic structure on Euclidean 4--space. The technique can be extended to produce exotic symplectic structures in higher dimensional Euclidean spaces using a GPS--structure and applies to symplectizations of appropriate open contact manifolds.

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