Family of hyperbolic manifolds with exponential homology torsion growth
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918240054149120 |
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| author | Alexandrov, Stepan |
| author_facet | Alexandrov, Stepan |
| contents | In this note, we construct a family of hyperbolic manifolds with exponentially growing torsion in their homology groups. This demonstrates that the recent bound on homological torsion, established by Bader, Gelander, and Sauer, is asymptotically sharp and cannot be improved. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_08915 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Family of hyperbolic manifolds with exponential homology torsion growth Alexandrov, Stepan Geometric Topology In this note, we construct a family of hyperbolic manifolds with exponentially growing torsion in their homology groups. This demonstrates that the recent bound on homological torsion, established by Bader, Gelander, and Sauer, is asymptotically sharp and cannot be improved. |
| title | Family of hyperbolic manifolds with exponential homology torsion growth |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2512.08915 |