Density of Zariski density for surface groups

Abstract

We show that a surface group contained in a reductive real algebraic group can be deformed to become Zariski dense, unless its Zariski closure acts transitively on a Hermitian symmetric space of tube type. This is a kind of converse to a rigidity result of Burger, Iozzi and Wienhard.

References in corpus (1)

• Bounded Cohomology and Deformation Rigidity in Complex Hyperbolic Geometry

Cited by in corpus (6)

• Higher Teichmüller Spaces: from SL(2,R) to other Lie groups
• Higgs bundles and higher Teichmüller spaces
• Signature, Toledo invariant and surface group representations in the real symplectic group
• Degenerations of k-positive surface group representations
• Flexibility of surface groups in classical groups
• Tight maps and holomorphicity