Positive surface group representations in PO(p,q)
Geometric Topology
2024-10-14 v2 Differential Geometry
Group Theory
Abstract
We show that -positive Anosov representations of a surface group satisfy root versus weight collar lemmas for all the Anosov roots, and are positively ratioed with respect to all such roots. We deduce from this, using a result of Beyrer-Pozzetti (2024), that -positive Anosov representations form connected components of character varieties.
Keywords
Cite
@article{arxiv.2106.14725,
title = {Positive surface group representations in PO(p,q)},
author = {Jonas Beyrer and Beatrice Pozzetti},
journal= {arXiv preprint arXiv:2106.14725},
year = {2024}
}
Comments
44 pages, 3 figures. Version accepted for pubblication in Journal of the European Mathematical Society. Comments welcome!