Work

Barcode entropy for Reeb flows on contact manifolds with Liouville fillings

Year: 2025

Type: article

Abstract: We study the topological entropy of Reeb flows on contact manifolds with Liouville fillings. With the theory of persistence modules, we define [Formula: see text]-barcode entropy from the symplectic homology of a filling. We prove that the [Formula: see text]-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.

Source: Communications in Contemporary Mathematics

DOI: 10.1142/s0219199725500440

Authors: Elijah Fender, Sangjin Lee, Beomjun Sohn

Institutions: Institute for Basic Science, Korea Institute for Advanced Study, Seoul National University

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Institute for Basic Science, Samsung Science and Technology Foundation

Awards: G4223629463, G670587537