Transitivity and an abelian Livsic theorem for covers
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911300183916544 |
|---|---|
| author | Pollicott, Mark Sharp, Richard |
| author_facet | Pollicott, Mark Sharp, Richard |
| contents | We show that the abelian Livšic theorem recently obtained by A. Gogolev and F. Rodriguez Hertz for null-homologous periodic orbits of homologically full Anosov flows continues to hold when restricted to periodic orbits which are trivial with respect to any regular cover for which the lifted flow is transitive. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_03699 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Transitivity and an abelian Livsic theorem for covers Pollicott, Mark Sharp, Richard Dynamical Systems 37C05, 37C10, 37D20, 37D40 We show that the abelian Livšic theorem recently obtained by A. Gogolev and F. Rodriguez Hertz for null-homologous periodic orbits of homologically full Anosov flows continues to hold when restricted to periodic orbits which are trivial with respect to any regular cover for which the lifted flow is transitive. |
| title | Transitivity and an abelian Livsic theorem for covers |
| topic | Dynamical Systems 37C05, 37C10, 37D20, 37D40 |
| url | https://arxiv.org/abs/2512.03699 |