Positive surface group representations in PO(p,q)
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2021
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| _version_ | 1866917800192245760 |
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| author | Beyrer, Jonas Pozzetti, Beatrice |
| author_facet | Beyrer, Jonas Pozzetti, Beatrice |
| contents | We show that $Θ$-positive Anosov representations $ρ:Γ\to{\sf PO}(p,q)$ of a surface group $Γ$ satisfy root versus weight collar lemmas for all the Anosov roots, and are positively ratioed with respect to all such roots. We deduce from this, using a result of Beyrer-Pozzetti (2024), that $Θ$-positive Anosov representations $ρ:Γ\to{\sf PO}(p,q)$ form connected components of character varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2106_14725 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Positive surface group representations in PO(p,q) Beyrer, Jonas Pozzetti, Beatrice Geometric Topology Differential Geometry Group Theory We show that $Θ$-positive Anosov representations $ρ:Γ\to{\sf PO}(p,q)$ of a surface group $Γ$ satisfy root versus weight collar lemmas for all the Anosov roots, and are positively ratioed with respect to all such roots. We deduce from this, using a result of Beyrer-Pozzetti (2024), that $Θ$-positive Anosov representations $ρ:Γ\to{\sf PO}(p,q)$ form connected components of character varieties. |
| title | Positive surface group representations in PO(p,q) |
| topic | Geometric Topology Differential Geometry Group Theory |
| url | https://arxiv.org/abs/2106.14725 |