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arXiv · 2011.02249

Non-fillability of overtwisted contact manifolds via polyfolds

Wolfgang Schmaltz·Stefan Suhr·Kai Zehmisch
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Abstract

We prove that any weakly symplectically fillable contact manifold is tight. Furthermore we verify the strong Weinstein conjecture for contact manifolds that appear as the concave boundary of a directed symplectic cobordism whose positive boundary satisfies the weak-filling condition and is overtwisted. Similar results are obtained in the presence of bordered Legendrian open books whose binding-complement has vanishing second Stiefel-Whitney class. The results are obtained via polyfolds.

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Wolfgang Schmaltz, Stefan Suhr, Kai Zehmisch. 2020-11-04. Non-fillability of overtwisted contact manifolds via polyfolds. https://doi.org/10.56994/armj.011.001.005

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