Rigidity and geometricity for surface group actions on the circle

Abstract

We prove that rigid representations of the fundamental group of a surface into the group of oreintation-preserving homeomorphisms of the circle are geometric, thereby establishing a converse statement of a theorem by the first author.

References in corpus (3)

• Dense embeddings of surface groups
• Orderings and flexibility of some subgroups of $Home{o}_{+}(\mathbb{R})$
• A characterization of Fuchsian actions by topological rigidity

Cited by in corpus (3)

• The action spectrum and C^0 symplectic topology
• Recent progress in the Zimmer program
• Locally moving groups and laminar actions on the line