Exotic aspherical $4$-manifolds

Annals of Mathematics 2026 Open access

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Authors: Michael Davis, Kyle Hayden, Jingyin Huang, Daniel Ruberman, Nathan Sunukjian
DOI: 10.4007/annals.2026.204.2.6
Cited by: 0

Abstract

We prove that there exist closed, aspherical, smooth $4$-manifolds that are homeomorphic but not diffeomorphic. These provide counterexamples to a smooth analog of the Borel conjecture in dimension four.

Fields of Study & Subjects

Geometric and Algebraic Topology Topological and Geometric Data Analysis Computational Geometry and Mesh Generation

Publication details

Journal / source
Annals of Mathematics
Volume
204
Issue
2
Pages
777–794
Publication date
1 September 2026
Language
EN