Small eigenvalues of random 3-manifolds

Abstract

We show that for every $g\ge 2$ there exists a number $c(g)>0$ such that the smallest positive eigenvalue of a random closed 3-manifold $M$ of Heegaard genus $g$ is at most $c(g)/\mathrm{vol}(M{)}^2$.

arXiv comment52 pages. Major revision

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Cited by in corpus (2)

• Volumes of random 3-manifolds
• Uniform models and short curves for random 3-manifolds