Positive surface group representations in $\mathsf{PO}(p,q)$
Year: 2024
Type: article
Abstract: 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.
DOI: 10.4171/jems/1560
Authors: Jonas Beyrer, Maria Beatrice Pozzetti
Institutions: Ludwig-Maximilians-Universität München, University of Bologna
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
Awards: G1620761618, G2418827033, Diskrete Untergruppen von halbeinfachen LieGruppen jenseits von Anosovdarstellungen, G3833500956, G3966628932, Starrheit, Deformationen und Limiten maximaler Darstellungen, G4263211711, GRK 2229: Asymptotische Invarianten und Limiten von Gruppen und Räumen, G6526081583, EXC 2181: STRUKTUREN: Emergenz in Natur, Mathematik und komplexen Daten, G7227535049, G7278058915, Cross Ratios on Furstenberg Boundaries, Anosov and Positive Representations
OpenAlex ID: W4404114855