Barcode entropy for Reeb flows on contact manifolds with Liouville fillings

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.

References in corpus (4)

• The Kunneth formula in Floer homology for manifolds with restricted contact type boundary
• Barcode entropy of geodesic flows
• On the Hofer-Zehnder conjecture on weighted projective spaces
• On the Barcode Entropy of Reeb Flows

Cited by in corpus (1)

• On the Barcode Entropy of Reeb Flows