Anosov representations acting on homogeneous spaces: domains of discontinuity

León Carvajales; Florian Stecker

doi:10.1016/j.aim.2024.110022

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arXiv · 2308.08607

Anosov representations acting on homogeneous spaces: domains of discontinuity

León Carvajales·Florian Stecker

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Abstract

We construct open domains of discontinuity for Anosov representations acting on some homogeneous spaces, including (pseudo-Riemannian) symmetric spaces. This generalizes work of Kapovich-Leeb-Porti on flag spaces. Our results complement those of Gu\'eritaud-Guichard-Kassel-Wienhard, who constructed proper actions of Anosov representations. For Zariski dense Anosov representations with respect to a minimal parabolic subgroup acting on some symmetric spaces, we show that our construction describes the largest possible open domains of discontinuity.

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BibTeX RIS

León Carvajales, Florian Stecker. 2023-08-16. Anosov representations acting on homogeneous spaces: domains of discontinuity. https://doi.org/10.1016/j.aim.2024.110022

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