Manolescu refuted the Triangulation Conjecture. The paper is

Pin(2)-equivariant Seiberg-Witten Floer homology and the Triangulation Conjecture, J. Amer. Math. Soc. 29 (2016), 147-176, doi:10.1090/jams829, arXiv:1303.2354

And you can read a blog post about it at Manolescu refutes the Triangulation ConjectureLow Dimensional Topology.