Non-smoothable four-manifolds with cyclic fundamental group

Details Non-smoothable four-manifolds with cyclic fundamental group Non-smoothable four-manifolds with cyclic fundamental group

2006-11-03

arxiv.org/abs/math/0611077v2

Mathematics

Geometric Topology

We strengthened the statement of Corollary 1.4 and deleted the remark right after Corollary 1.4

Scientific paper

In [HT], two of us constructed a closed oriented 4-dimensional manifold with fundamental group $\Z$ that does not split off $S^1\times S^3$. 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 $H_2$). As a corollary, we obtain topologically slice knots that are not smoothly slice in any rational homology ball.

Affiliated with

Also associated with

No associations

Rating

Non-smoothable four-manifolds with cyclic fundamental group does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Non-smoothable four-manifolds with cyclic fundamental group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-smoothable four-manifolds with cyclic fundamental group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-164086