Barcode entropy for Reeb flows on contact manifolds with Liouville fillings
classification
🧮 math.SG
math.DS
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entropyreebbarcodecontactfillingfillingsflowsliouville
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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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Cited by 1 Pith paper
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A lower bound for relative symplectic cohomology barcode entropy
Proves that barcode entropy of relative symplectic cohomology SH_M(K) is bounded below by topological entropy of Reeb flow on any hyperbolic invariant set of δK.
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