Coexact $1$-form spectral gaps of hyperbolic rational homology spheres

Francesco Lin; Michael Lipnowski

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arXiv · 2603.02093

Coexact $1$-form spectral gaps of hyperbolic rational homology spheres

Francesco Lin·Michael Lipnowski

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Abstract

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.

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Francesco Lin, Michael Lipnowski. 2026-03-02. Coexact $1$-form spectral gaps of hyperbolic rational homology spheres. https://arxiv.org/abs/2603.02093

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