Positive surface group representations in $\mathsf{PO}(p,q)$
We show that \Theta -positive Anosov representations \rho:\Gamma\to\mathsf{PO}(p,q) of a surface group \Gamma 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 (2014), that \Theta -positive Anosov representations \rho:\Gamma\to\mathsf{PO}(p,q) form connected components of character varieties.
Authors
- Jonas Beyrer (ORCID: https://orcid.org/0000-0003-2636-6943)
- Maria Beatrice Pozzetti (ORCID: https://orcid.org/0000-0002-9238-1087)
Institutions
- LMU Klinikum (DE)
- Ludwig-Maximilians-Universität München (DE)
- University of Bologna (IT)
Publication Details
- Journal
- Journal of the European Mathematical Society
- Published
- 2024-11-06
- DOI
- https://doi.org/10.4171/jems/1560
- Citations
- 3
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 3.04