Coexact $1$-form spectral gaps of hyperbolic rational homology spheres
Geometric Topology
2026-03-03 v1 Differential Geometry
Number Theory
Spectral Theory
Abstract
We discuss a construction of families of hyperbolic rational homology spheres with coexact -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 . Furthermore, we also exhibit a family of arithmetic examples, answering a question of Abdurrahman-Adve-Giri-Lowe-Zung.
Keywords
Cite
@article{arxiv.2603.02093,
title = {Coexact $1$-form spectral gaps of hyperbolic rational homology spheres},
author = {Francesco Lin and Michael Lipnowski},
journal= {arXiv preprint arXiv:2603.02093},
year = {2026}
}
Comments
10 pages, 3 figures