Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2404.00372 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866908347917139968 |
|---|---|
| author | Saadi, Fayssal |
| author_facet | Saadi, Fayssal |
| contents | We describe the dynamics of a group $Γ$ generated by Dehn twists along two filling multi-curves or a family of filling curves on the SU(2)-representation variety of closed surfaces. Consequently, we provide explicit $Γ$-invariant rational functions on the representation variety of the genus two closed surface $S_2$ for some pair of multi-curves. We establish a similar result for the SU(2)-character variety of genus four non-orientable surfaces $N_4$ for some family of filling curves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_00372 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-ergodicity on the SU(2)-character varieties Saadi, Fayssal Geometric Topology We describe the dynamics of a group $Γ$ generated by Dehn twists along two filling multi-curves or a family of filling curves on the SU(2)-representation variety of closed surfaces. Consequently, we provide explicit $Γ$-invariant rational functions on the representation variety of the genus two closed surface $S_2$ for some pair of multi-curves. We establish a similar result for the SU(2)-character variety of genus four non-orientable surfaces $N_4$ for some family of filling curves. |
| title | Non-ergodicity on the SU(2)-character varieties |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2404.00372 |