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.

You may download a pdf version of this paper.

You may download the published version of this paper. (Access may be restricted.)

You may download the version of this paper at the arxiv.

This paper has been reviewed in math reviews. (Access may be restricted.)

Return to my home page.