Positive representations over real closed fields
Geometric Topology
2026-05-25 v2 Algebraic Geometry
Differential Geometry
Representation Theory
Abstract
We develop the theory of -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.
Cite
@article{arxiv.2601.05102,
title = {Positive representations over real closed fields},
author = {Xenia Flamm and Nicolas Tholozan and Tianqi Wang and Tengren Zhang},
journal= {arXiv preprint arXiv:2601.05102},
year = {2026}
}
Comments
106 pages. Added a conjecture on flag varieties with a positive structure (Conjecture 1.6), proved this conjecture in some cases (Section 3.9) and improved some theorems conditionally to this conjecture (Theorem H, Section 4.6, Corollary 7.5)