Totally elliptic surface group representations
Abstract A surface group representation into a Lie group is totally elliptic if every simple closed curve on the surface is mapped to an elliptic element. In this note, we characterize all totally elliptic surface group representations into and by showing that they are either representations into a compact subgroup or Deroin–Tholozan representations.
Authors
- Arnaud Maret
Institutions
- Institut de Recherche Mathématique Avancée (FR)
- Université de Strasbourg (FR)
Publication Details
- Journal
- Bulletin of the London Mathematical Society
- Published
- 2026-07-23
- DOI
- https://doi.org/10.1112/blms.70455
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00