Robustly non-convex hypersurfaces in contact manifolds
Symplectic Geometry
2025-09-30 v3 Dynamical Systems
Abstract
We construct the first examples of hypersurfaces in any contact manifold of dimension 5 and larger that cannot be -approximated by convex hypersurfaces, contrasting sharply with the foundational results of Giroux in dimension and Honda-Huang in the case. The main technical step is the first construction of a dynamical blender in the contact setting.
Cite
@article{arxiv.2406.05979,
title = {Robustly non-convex hypersurfaces in contact manifolds},
author = {Julian Chaidez},
journal= {arXiv preprint arXiv:2406.05979},
year = {2025}
}
Comments
39 pages + references. 3 figures. v3 has a rewritten introduction, minor corrections and improved exposition