Pressure metrics for cusped Hitchin components
Geometric Topology
2023-10-02 v3 Differential Geometry
Dynamical Systems
Abstract
We study the cusped Hitchin component consisting of (conjugacy classes of) cusped Hitchin representations of a torsion-free geometrically finite Fuchsian group into PSL(d,R). We produce pressure metrics associated to the first fundamental weight and the first simple root. When we produce a pressure metric associated to the Hilbert length, which is new even when the Fuchsian group is cocompact.
Cite
@article{arxiv.2111.07493,
title = {Pressure metrics for cusped Hitchin components},
author = {Harrison Bray and Richard Canary and Lien-Yung Kao and Giuseppe Martone},
journal= {arXiv preprint arXiv:2111.07493},
year = {2023}
}