On the Hofer-Zehnder conjecture on weighted projective spaces
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2022
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866914723856908288 |
|---|---|
| author | Allais, Simon |
| author_facet | Allais, Simon |
| contents | We prove an extension of the homology version of the Hofer-Zehnder conjecture proved by Shelukhin to the weighted projective spaces which are symplectic orbifolds. In particular, we prove that if the number of fixed points counted with their isotropy order as multiplicity of a non-degenerate Hamiltonian diffeomorphism of such a space is larger than the minimum number possible, then there are infinitely many periodic points. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_13277 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On the Hofer-Zehnder conjecture on weighted projective spaces Allais, Simon Symplectic Geometry Dynamical Systems 70H12, 37J10, 58E05, 53D20 We prove an extension of the homology version of the Hofer-Zehnder conjecture proved by Shelukhin to the weighted projective spaces which are symplectic orbifolds. In particular, we prove that if the number of fixed points counted with their isotropy order as multiplicity of a non-degenerate Hamiltonian diffeomorphism of such a space is larger than the minimum number possible, then there are infinitely many periodic points. |
| title | On the Hofer-Zehnder conjecture on weighted projective spaces |
| topic | Symplectic Geometry Dynamical Systems 70H12, 37J10, 58E05, 53D20 |
| url | https://arxiv.org/abs/2201.13277 |