Coexact $1$-form spectral gaps of hyperbolic rational homology spheres
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
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2026
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| _version_ | 1866918366769315840 |
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| author | Lin, Francesco Lipnowski, Michael |
| author_facet | Lin, Francesco Lipnowski, Michael |
| contents | We discuss a construction of families of hyperbolic rational homology spheres with coexact $1$-form spectral gap uniformly bounded below which is well-suited for explicit computations. Using this, we provide several disjoint intervals containing a limit point of such spectral gaps, the rightmost of which is $[0.8196,0.8277]$. Furthermore, we also exhibit a family of arithmetic examples, answering a question of Abdurrahman-Adve-Giri-Lowe-Zung. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_02093 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Coexact $1$-form spectral gaps of hyperbolic rational homology spheres Lin, Francesco Lipnowski, Michael Geometric Topology Differential Geometry Number Theory Spectral Theory We discuss a construction of families of hyperbolic rational homology spheres with coexact $1$-form spectral gap uniformly bounded below which is well-suited for explicit computations. Using this, we provide several disjoint intervals containing a limit point of such spectral gaps, the rightmost of which is $[0.8196,0.8277]$. Furthermore, we also exhibit a family of arithmetic examples, answering a question of Abdurrahman-Adve-Giri-Lowe-Zung. |
| title | Coexact $1$-form spectral gaps of hyperbolic rational homology spheres |
| topic | Geometric Topology Differential Geometry Number Theory Spectral Theory |
| url | https://arxiv.org/abs/2603.02093 |