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| Main Authors: | , , |
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| Format: | Preprint |
| Udgivet: |
2020
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| Fag: | |
| Online adgang: | https://arxiv.org/abs/2011.02249 |
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Indholdsfortegnelse:
- 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.