Non-smoothable Four-manifolds with Cyclic Fundamental Group
نویسندگان
چکیده
In [9], two of us constructed a closed oriented 4-dimensional manifold with fundamental group Z that does not split off S×S. In this note we show that this 4-manifold, and various others derived from it, do not admit smooth structures. Moreover, we find an infinite family of 4-manifolds with exactly the same properties (and same intersection form on H2). As a corollary, we obtain topologically slice knots that are not smoothly slice.
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تاریخ انتشار 2006