d‐Pleated surfaces and their shear‐bend coordinates
Abstract
Abstract In this article, we single out representations of surface groups into that generalize the well‐studied family of pleated surfaces into . Our representations arise as sufficiently generic ‐Borel Anosov representations, which are representations that are Borel Anosov with respect to a maximal geodesic lamination . For fixed and , we provide a holomorphic parameterization of the space of ‐pleated surfaces with pleating locus that extends both work of Bonahon for pleated surfaces and Bonahon and Dreyer for Hitchin representations.
Fields of Study & Subjects
Geometric and Algebraic Topology
Mathematical Dynamics and Fractals
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- Proceedings of the London Mathematical Society
- Publisher
- Wiley
- Volume
- 133
- Issue
- 1
- Publication date
- 30 June 2026
- Language
- EN