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Exotic aspherical 44-manifolds

Michael Davis, Kyle Hayden, Jingyin Huang, Daniel Ruberman, Nathan Sunukjian

Source record

Source: Crossref

Published: Sep 1, 2026

DOI: 10.4007/annals.2026.204.2.6

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Source abstract

We prove that there exist closed, aspherical, smooth 44-manifolds that are homeomorphic but not diffeomorphic. These provide counterexamples to a smooth analog of the Borel conjecture in dimension four.

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Exotic aspherical $4$-manifolds — Mathematical Frontier Network