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Manolescu's new result on the triangulation conjecture
Ciprian Manolescu has a new paper on the archive http://arxiv.org/abs/1303.2354
There he settles the longstanding triangulation conjecture: in any dimension $n>3$ there exist nontriangulable compact topological manifolds. The approach is the one opened in the 1980 by the Gaweski-Stern Annals paper where they pointed out the relationship between this conjecture and the existence of homology 3-spheres with Rochlin invariant 1 and having order two in the homology cobordism group.
This new result of Manolescu is big news indeed, provided that the details of the proof turn out OK. As for the method, he goes back to his, not so distant, youth.
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