Barcode entropy for Reeb flows on contact manifolds with Liouville fillings
Symplectic Geometry
2025-04-17 v1 Dynamical Systems
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.
Keywords
Cite
@article{arxiv.2305.04770,
title = {Barcode entropy for Reeb flows on contact manifolds with Liouville fillings},
author = {Elijah Fender and Sangjin Lee and Beomjun Sohn},
journal= {arXiv preprint arXiv:2305.04770},
year = {2025}
}