Homological dimension of discrete subgroups in higher rank Lie groups
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908339870367744 |
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| author | Connell, Chris McReynolds, D. B. Wang, Shi |
| author_facet | Connell, Chris McReynolds, D. B. Wang, Shi |
| contents | In this short note, we improve on a recent result by the authors. We show that infinite volume torsion free discrete subgroups of higher rank Lie groups have homological dimension gap at least one-eighth of the real rank, provided the injectivity radius of the quotient manifold is uniformly bounded from zero. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_18923 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Homological dimension of discrete subgroups in higher rank Lie groups Connell, Chris McReynolds, D. B. Wang, Shi Geometric Topology Differential Geometry Group Theory In this short note, we improve on a recent result by the authors. We show that infinite volume torsion free discrete subgroups of higher rank Lie groups have homological dimension gap at least one-eighth of the real rank, provided the injectivity radius of the quotient manifold is uniformly bounded from zero. |
| title | Homological dimension of discrete subgroups in higher rank Lie groups |
| topic | Geometric Topology Differential Geometry Group Theory |
| url | https://arxiv.org/abs/2504.18923 |