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

Fuente: arXiv
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Auteurs principaux: Avramidi, Grigori, Okun, Boris, Schreve, Kevin
Format: Preprint
Publié: 2024
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author Avramidi, Grigori
Okun, Boris
Schreve, Kevin
author_facet Avramidi, Grigori
Okun, Boris
Schreve, Kevin
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2412_09508
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle L^2-Betti numbers of branched covers of hyperbolic manifolds
Avramidi, Grigori
Okun, Boris
Schreve, Kevin
Geometric Topology
Group Theory
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.
title L^2-Betti numbers of branched covers of hyperbolic manifolds
topic Geometric Topology
Group Theory
url https://arxiv.org/abs/2412.09508