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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2308.08607 |
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| _version_ | 1866909401774817280 |
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| author | Carvajales, León Stecker, Florian |
| author_facet | Carvajales, León Stecker, Florian |
| contents | 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 Guéritaud-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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_08607 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Anosov representations acting on homogeneous spaces: domains of discontinuity Carvajales, León Stecker, Florian Geometric Topology 14M15, 22E40, 22F30 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 Guéritaud-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. |
| title | Anosov representations acting on homogeneous spaces: domains of discontinuity |
| topic | Geometric Topology 14M15, 22E40, 22F30 |
| url | https://arxiv.org/abs/2308.08607 |