Positive representations over real closed fields

Xenia Flamm; Nicolas Tholozan; Tianqi Wang; Tengren Zhang

doi:10.48550/arxiv.2601.05102

Positive representations over real closed fields

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Xenia Flamm, Nicolas Tholozan, Tianqi Wang, Tengren Zhang

DOI: 10.48550/arxiv.2601.05102

Cited by: 0

Abstract

We develop the theory of $Θ$-positive representations from general Fuchsian groups to linear groups over real closed fields. Our definition, which does not assume the boundary map to be continuous, encompasses many generalizations of positive or Anosov representations that have been considered in the literature.

Fields of Study & Subjects

Advanced Algebra and Geometry Homotopy and Cohomology in Algebraic Topology Algebraic Geometry and Number Theory

Publication details

Journal / source: arXiv (Cornell University)
Publication date: 8 January 2026
Document type: Preprint