Non-ergodicity on the SU(2)-character varieties
| Autor: | Saadi, Fayssal |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We describe the dynamics of a group $\Gamma$ 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 $\Gamma$-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. |
| Databáze: | arXiv |
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