Barcode entropy for Reeb flows on contact manifolds with Liouville fillings

Autor:	Fender, Elijah, Lee, Sangjin, Sohn, Beomjun
Rok vydání:	2023
Předmět:	Mathematics - Symplectic Geometry Mathematics - Dynamical Systems 53D40 37D40 37B40
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2305.04770 Zobrazit plný text záznamu View this record from Arxiv