On projective Anosov subgroups of symplectic groups

Autor:	Pozzetti, Maria Beatrice, Tsouvalas, Konstantinos
Rok vydání:	2023
Předmět:	Mathematics - Geometric Topology Mathematics - Group Theory
Druh dokumentu:	Working Paper
Popis:	We prove that a word hyperbolic group whose Gromov boundary properly contains a $2$-sphere cannot admit a projective Anosov representation into $\mathsf{Sp}_{2m}(\mathbb{C})$, $m\in \mathbb{N}$. We also prove that a word hyperbolic group which admits a projective Anosov representation into $\mathsf{Sp}_{2m}(\mathbb{R})$ is virtually a free group or virtually a surface group, a result established indepedently by Dey-Greenberg-Riestenberg. Comment: 6 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2305.05018 Zobrazit plný text záznamu View this record from Arxiv