On projective Anosov subgroups of symplectic groups

Maria Beatrice Pozzetti; Konstantinos Tsouvalas

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arXiv · 2305.05018

On projective Anosov subgroups of symplectic groups

Maria Beatrice Pozzetti·Konstantinos Tsouvalas

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Abstract

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.

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BibTeX RIS

Maria Beatrice Pozzetti, Konstantinos Tsouvalas. 2023-05-08. On projective Anosov subgroups of symplectic groups. https://arxiv.org/abs/2305.05018

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