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

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 $H_n$.

18 pages, 3 figures : corrected typos, better introduction

References in corpus (1)

• Anosov representations and dominated splittings