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arXiv · 2305.04770

Barcode entropy for Reeb flows on contact manifolds with Liouville fillings

Elijah Fender·Sangjin Lee·Beomjun Sohn
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Abstract

We study the topological entropy of Reeb flows on contact manifolds with Liouville fillings. With the theory of persistence modules, we define SH-barcode entropy from the symplectic homology of a filling. We prove that the SH-barcode entropy is independent of the choice of the filling and that the barcode entropy provides a lower bound for the topological entropy of the Reeb flow.

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Elijah Fender, Sangjin Lee, Beomjun Sohn. 2023-05-08. Barcode entropy for Reeb flows on contact manifolds with Liouville fillings. https://doi.org/10.1142/s0219199725500440

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