Positive surface group representations in PO(p,q)
| Autor: | Beyrer, Jonas, Pozzetti, Beatrice |
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| Rok vydání: | 2021 |
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| Druh dokumentu: | Working Paper |
| Popis: | We show that $\Theta$-positive Anosov representations $\rho:\Gamma\to{\sf PO}(p,q)$ of a surface group $\Gamma$ 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 $\Theta$-positive Anosov representations $\rho:\Gamma\to{\sf PO}(p,q)$ form connected components of character varieties. Comment: 44 pages, 3 figures. Version accepted for pubblication in Journal of the European Mathematical Society. Comments welcome! |
| Databáze: | arXiv |
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