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arXiv · 1806.08603

Symplectic dynamics and the 3-sphere

Marc Kegel·Jay Schneider·Kai Zehmisch
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Abstract

Given a knot in a closed connected orientable 3-manifold we prove that if the exterior of the knot admits an aperiodic contact form that is Euclidean near the boundary, then the 3-manifold is diffeomorphic to the 3-sphere and the knot is the unknot.

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Marc Kegel, Jay Schneider, Kai Zehmisch. 2018-06-22. Symplectic dynamics and the 3-sphere. https://doi.org/10.1007/s11856-019-1956-5

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