Year: 2026
Type: preprint
Abstract: We show that the overtwisted contact structure on $S^3$ with Hopf invariant $-1$ is non-orderable, i.e., that it admits a contractible positive loop of contactopmorphisms. This provides the first known example of a non-orderable overtwisted contact manifold. We further show the existence of a contactomorphism without translated points.
Source: arXiv (Cornell University)
Author: Hedicke, Jakob
Institution: Radboud University Nijmegen
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7202374318
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