1996/04/26 by Bizaca, Zarko, Etnyre, John
#Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.dg-ga/9604007
We use Furuta's result, usually referred to as ``10/8-conjecture'', to show that for any compact 3-manifold M the open manifold M×\r has infinitely many different smooth structures. Another consequence of Furuta's result is existence of infinitely many smooth structures on open topological 4-manifolds with a topologically collarable end, provided there are only finitely many ends homeomorphic to it. We also show that for each closed spin 4-manifold there are exotic \rf's that can not be smoothly embedded into it.