The geometry of maximal representations of surface groups into SO0(2,n)
The geometry of maximal representations of surface groups into SO0(2,n)
In this paper, we study the geometric and dynamical properties of maximal representations of surface groups into Hermitian Lie groups of rank 2. Combining tools from Higgs bundle theory, the theory of Anosov representations, and pseudo-Riemannian geometry, we obtain various results of interest. We prove that these representations are holonomies …