d‐Pleated surfaces and their shear‐bend coordinates
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.
Authors
- Filippo Mazzoli (ORCID: https://orcid.org/0000-0002-6609-915X)
- Giuseppe Martone (ORCID: https://orcid.org/0000-0001-5554-2382)
- Sara Maloni (ORCID: https://orcid.org/0000-0002-3609-4825)
- Tengren Zhang (ORCID: https://orcid.org/0000-0002-8508-2345)
Institutions
- University of California, Riverside (US)
- National University of Singapore (SG)
- Sam Houston State University (US)
- University of Virginia (US)
Publication Details
- Journal
- Proceedings of the London Mathematical Society
- Published
- 2026-06-30
- DOI
- https://doi.org/10.1112/plms.70174
- Citations
- 1
- Primary Topic
- Geometric and Algebraic Topology
- Type
- preprint
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation
- Simons Foundation
- Ministry of Education, India
- Institut Henri Poincaré