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Totally elliptic surface group representations

Year: 2026

Type: article

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.

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.70455

Author: Arnaud Maret

Institutions: Institut de Recherche Mathématique Avancée, Université de Strasbourg

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,930

OpenAlex ID: W4405031412

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