A Lower Bound of the Hofer-Zehnder Capacity via Delzant Polytopes
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916434215436288 |
|---|---|
| author | Liu, Yichen |
| author_facet | Liu, Yichen |
| contents | Given a symplectic toric manifold, the moment maps of sub-circle actions can be modified to be admissible functions in the sense of Hofer-Zehnder. By exploiting the relationship between the period of Hamiltonian sub-circle actions of a symplectic toric manifold and its Delzant polytope, we develop an invariant of Delzant polytopes which gives a lower bound of the Hofer-Zehnder capacity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_09526 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A Lower Bound of the Hofer-Zehnder Capacity via Delzant Polytopes Liu, Yichen Symplectic Geometry 53D20, 53D35 Given a symplectic toric manifold, the moment maps of sub-circle actions can be modified to be admissible functions in the sense of Hofer-Zehnder. By exploiting the relationship between the period of Hamiltonian sub-circle actions of a symplectic toric manifold and its Delzant polytope, we develop an invariant of Delzant polytopes which gives a lower bound of the Hofer-Zehnder capacity. |
| title | A Lower Bound of the Hofer-Zehnder Capacity via Delzant Polytopes |
| topic | Symplectic Geometry 53D20, 53D35 |
| url | https://arxiv.org/abs/2312.09526 |