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<p>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.</p>

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\(L^2\)-betti numbers of branched covers of hyperbolic manifolds

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年4月24日

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  • Grigori Avramidi,
  • Boris Okun,
  • Kevin Schreve

摘要

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.