Non-ergodicity on the SU(2)-character varieties
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | |
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| _version_ | 1866908347917139968 |
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| 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 |