We show that there are closed, aspherical, smooth 4-manifolds that are homeomorphic but not diffeomorphic. This is joint work with Davis, Hayden, Ruberman, and Sunukjian.
Links:
[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/node/3444
[3] https://www.mpim-bonn.mpg.de/node/3050