The real spectrum compactification of character varieties
Group Theory
2025-07-15 v2 Algebraic Geometry
Differential Geometry
Geometric Topology
Abstract
We study the real spectrum compactification of character varieties of finitely generated groups in semisimple Lie groups. This provides a compactification with good topological properties, and we interpret the boundary points in terms of actions on building-like spaces. Among the applications we give a general framework guaranteeing the existence of equivariant harmonic maps in building-like spaces.
Cite
@article{arxiv.2311.01892,
title = {The real spectrum compactification of character varieties},
author = {Marc Burger and Alessandra Iozzi and Anne Parreau and Maria Beatrice Pozzetti},
journal= {arXiv preprint arXiv:2311.01892},
year = {2025}
}
Comments
New sections 1.6 and 1.7 in the introduction, several typos corrected