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arXiv · 2206.04738

Contact homology and higher dimensional closing lemmas

Julian Chaidez·Ipsita Datta·Rohil Prasad·Shira Tanny
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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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Julian Chaidez, Ipsita Datta, Rohil Prasad, Shira Tanny. 2022-06-09. Contact homology and higher dimensional closing lemmas. https://arxiv.org/abs/2206.04738

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