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math.GT2024
Expansion and torsion homology of 3-manifolds
Jonathan Zung
A Riemannian manifold is a called a good rational expander in dimension if every -cycle bounds a rational -chain of comparatively small volume. We construct 3-manifolds…
math.GT2024
Hyperbolic 3-manifolds with uniform spectral gap for coclosed 1-forms
Amina Abdurrahman, Anshul Adve, Vikram Giri +2
We study two quantifications of being a homology sphere for hyperbolic 3-manifolds, one geometric and one topological: the spectral gap for the Laplacian on coclosed 1-forms and th…