L²-Betti numbers of branched covers of hyperbolic manifolds

2024/12/12 by Grigori Avramidi, Boris Okun, Avramidi, Grigori +3 · 1 citation
Mathematics · Computer Science · Engineering · #Mathematical Dynamics and Fractals #Computational Geometry and Mesh Generation #Advanced Numerical Analysis Techniques

paper · pdf · doi:10.48550/arxiv.2412.09508

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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