Rigidity and geometricity for surface group actions on the circle

0Citations
Citations of this article
3Readers
Mendeley users who have this article in their library.
Get full text

Abstract

We prove that (topologically) rigid actions of surface groups on the circle by homeomorphisms are necessarily geometric, namely, they are semiconjugate to an embedding as a cocompact lattice in a Lie group acting transitively on S1. This gives the converse to a theorem of the first author; thus characterizing geometric actions as the unique isolated points in the “character space” of surface group actions on S1.

Cite

CITATION STYLE

APA

Mann, K., & Wolff, M. (2024). Rigidity and geometricity for surface group actions on the circle. Geometry and Topology, 28(5), 2345–2398. https://doi.org/10.2140/gt.2024.28.2345

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free