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

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Francesco Lin, Michael Lipnowski
DOI: 10.48550/arxiv.2603.02093
Cited by: 0

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.

Fields of Study & Subjects

Spectral Theory in Mathematical Physics Geometric and Algebraic Topology Geometric Analysis and Curvature Flows

Publication details

Journal / source
arXiv (Cornell University)
Publication date
2 March 2026
Language
EN
Document type
Preprint