Exotic aspherical 4-manifolds
Michael Davis, Kyle Hayden, Jingyin Huang, Daniel Ruberman, Nathan Sunukjian

TL;DR
This paper constructs exotic aspherical smooth 4-manifolds that are homeomorphic but not diffeomorphic, providing counterexamples to a smooth Borel conjecture analog in four dimensions.
Contribution
It introduces a novel application of the reflection group trick to produce exotic 4-manifolds with specific topological properties.
Findings
Constructed closed, aspherical 4-manifolds that are homeomorphic but not diffeomorphic.
Provided counterexamples to the smooth Borel conjecture in dimension four.
Abstract
We construct 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. Our technique is to apply the `reflection group trick' of the first author to pairs of exotic 4-manifolds with boundary constructed by the second author and Piccirillo.
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