Exotic symplectic structures

Casals, Roger

doi:10.1090/proc/14853

Exotic symplectic structures
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Proc. Amer. Math. Soc. 148 (2020), 825-834 Request permission

Abstract:

The symplectization of an overtwisted contact $(\mathbb {R}^3,\xi _{ot})$ is shown to be an exotic symplectic $\mathbb {R}^4$. The technique of proof is also used to produce exotic symplectic $\mathbb {R}^{2n}$ using a GPS–structure and applies to symplectizations of open contact manifolds.

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