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arXiv · 2201.05584

Maximal and Borel Anosov representations in $Sp(4,\mathbb{R})$

Colin Davalo
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Abstract

We prove that any Borel Anosov representations of a surface group into $Sp(4,\mathbb{R})$ that has maximal Toledo invariant must be Hitchin. We also prove that a representation of a surface group into $Sp(2n,\mathbb{R})$ that is $\{n-1,n\}$-Anosov is maximal if and only if it satisfies the hyperconvexity property $H_n$.

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Colin Davalo. 2022-01-14. Maximal and Borel Anosov representations in $Sp(4,\mathbb{R})$. https://doi.org/10.1016/j.aim.2024.109578

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