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Maximal Representations of Surface Groups: Symplectic Anosov Structures

Maximal Representations of Surface Groups: Symplectic Anosov Structures

Let G be a connected semisimple Lie group such that the associated symmetric space X is Hermitian and let Γ g be the fundamental group of a compact orientable surface of genus g ≥ 2. We survey the study of maximal representations of Γ g into G, that is the …