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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.08105 |
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| _version_ | 1866916734937595904 |
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| author | Saadi, Fayssal |
| author_facet | Saadi, Fayssal |
| contents | In this article, we continue the study of the action of subgroups of the mapping class group on the $SU(2)$-character variety. We prove the existence of a mapping class subgroup on the surface of genus $2$, containing infinitely many pseudo-Anosov elements, which admit an invariant rational function on $SU(2)$-character variety of $S_2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_08105 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Pseudo-Anosov action on the $SU(2)$-character variety of $S_2$ Saadi, Fayssal Geometric Topology In this article, we continue the study of the action of subgroups of the mapping class group on the $SU(2)$-character variety. We prove the existence of a mapping class subgroup on the surface of genus $2$, containing infinitely many pseudo-Anosov elements, which admit an invariant rational function on $SU(2)$-character variety of $S_2$. |
| title | Pseudo-Anosov action on the $SU(2)$-character variety of $S_2$ |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2505.08105 |