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Singer’s conjecture states that the reduced \(L^2\) -cohomology groups vanish except for the middle dimension over the universal covering spaces of aspherical manifolds.

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Aspherical \(\frac {10}{8}\) -Inequality and Singer’s Conjecture

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  • 发表日期：

    2025年

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  • Tsuyoshi Kato,
  • Nobuhiro Nakamura

摘要

Singer’s conjecture states that the reduced \(L^2\) -cohomology groups vanish except for the middle dimension over the universal covering spaces of aspherical manifolds.