Contact homology and higher dimensional closing lemmas
Symplectic Geometry
2022-11-08 v2 Dynamical Systems
Abstract
We develop methods for studying the smooth closing lemma for Reeb flows in any dimension using contact homology. As an application, we prove a conjecture of Irie, stating that the strong closing lemma holds for Reeb flows on ellipsoids. Our methods also apply to other Reeb flows, and we illustrate this for a class of examples introduced by Albers-Geiges-Zehmisch.
Cite
@article{arxiv.2206.04738,
title = {Contact homology and higher dimensional closing lemmas},
author = {Julian Chaidez and Ipsita Datta and Rohil Prasad and Shira Tanny},
journal= {arXiv preprint arXiv:2206.04738},
year = {2022}
}
Comments
Added new examples of Reeb flows to which our methods apply. Replaces "Contact homology and the strong closing lemma for ellipsoids." 68 pages, 10 figures, comments welcome!