Smooth structures on collarable ends of 4-manifolds
Joint work with Zarko Bizaka,
Topology 37 (1998), 461-467.

We use Furuta's result, usually referred to as ``10/8-conjecture'', to show that for any compact 3-manifold $M$ the open manifold $M\times\R$ 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 $\R^4$'s that can not be smoothly embedded into it.

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