Invariant measures for Deroin-Tholozan representations
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2026
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866915978301931520 |
|---|---|
| author | Bouilly, Yohann Maret, Arnaud |
| author_facet | Bouilly, Yohann Maret, Arnaud |
| contents | We classify mapping class group invariant probability measures on the character varieties of Deroin-Tholozan representations, namely the compact components of relative $\mathrm{PSL}_2\mathbb{R}$-character varieties. We prove that an ergodic measure is either the counting measure on a finite orbit or agrees with the Liouville measure induced by the Goldman symplectic form. Our approach is based on measure disintegration along transverse Lagrangian tori fibrations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_02823 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Invariant measures for Deroin-Tholozan representations Bouilly, Yohann Maret, Arnaud Dynamical Systems Geometric Topology Symplectic Geometry 37B05, 57K20, 20C15 We classify mapping class group invariant probability measures on the character varieties of Deroin-Tholozan representations, namely the compact components of relative $\mathrm{PSL}_2\mathbb{R}$-character varieties. We prove that an ergodic measure is either the counting measure on a finite orbit or agrees with the Liouville measure induced by the Goldman symplectic form. Our approach is based on measure disintegration along transverse Lagrangian tori fibrations. |
| title | Invariant measures for Deroin-Tholozan representations |
| topic | Dynamical Systems Geometric Topology Symplectic Geometry 37B05, 57K20, 20C15 |
| url | https://arxiv.org/abs/2605.02823 |