Contact homology and higher dimensional closing lemmas
Reviewed by Pithpith:B7IPF25Popen to challenge →
classification
math.SG
math.DS
keywords
closingflowsreebcontacthomologylemmamethodsalbers-geiges-zehmisch
read the original 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.
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