Robustly non-convex hypersurfaces in contact manifolds
| Autor: | Chaidez, Julian |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | We construct the first examples of hypersurfaces in any contact manifold of dimension 5 and larger that cannot be $C^2$-approximated by convex hypersurfaces. This contrasts sharply with the foundational result of Giroux in dimension $3$ and the work of Honda-Huang in the $C^0$ case. The main technical step is the construction of a Bonatti-Diaz type blender in the contact setting. Comment: 38 pages + references. 3 figures. v2 has small corrections and improvements to exposition. Comments welcome! |
| Databáze: | arXiv |
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