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Fukaya-Yamaguchi Conjecture in Dimension Four

Elia Bruè, Aaron Naber, Daniele Semola

Source record

Source: Crossref

Published: Dec 27, 2025

DOI: 10.4208/jms.v58n4.25.09

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Source abstract

Fukaya and Yamaguchi conjectured that if MnM^n is a manifold with nonnegative sectional curvature, then the fundamental group is uniformly virtually abelian. In this short note we observe that the conjecture holds in dimensions up to four.

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Fukaya-Yamaguchi Conjecture in Dimension Four — Mathematical Frontier Network