Barcode entropy for Reeb flows on contact manifolds with Liouville fillings
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2023
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866909580594774016 |
|---|---|
| author | Fender, Elijah Lee, Sangjin Sohn, Beomjun |
| author_facet | Fender, Elijah Lee, Sangjin Sohn, Beomjun |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_04770 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Barcode entropy for Reeb flows on contact manifolds with Liouville fillings Fender, Elijah Lee, Sangjin Sohn, Beomjun Symplectic Geometry Dynamical Systems 53D40, 37D40, 37B40 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. |
| title | Barcode entropy for Reeb flows on contact manifolds with Liouville fillings |
| topic | Symplectic Geometry Dynamical Systems 53D40, 37D40, 37B40 |
| url | https://arxiv.org/abs/2305.04770 |