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arXiv · 2412.09508

L^2-Betti numbers of branched covers of hyperbolic manifolds

Grigori Avramidi·Boris Okun·Kevin Schreve
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Abstract

We show that Gromov-Thurston branched covers satisfy the Singer conjecture whenever the degree of the cover is not divisible by a finite set of primes determined by the base manifold and the branch locus.

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Grigori Avramidi, Boris Okun, Kevin Schreve. 2024-12-12. L^2-Betti numbers of branched covers of hyperbolic manifolds. https://arxiv.org/abs/2412.09508

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