Non-smoothable four-manifolds with cyclic fundamental group
几何拓扑
2007-05-23 v2
摘要
In [HT], two of us constructed a closed oriented 4-dimensional manifold with fundamental group that does not split off . 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 ). As a corollary, we obtain topologically slice knots that are not smoothly slice in any rational homology ball.
引用
@article{arxiv.math/0611077,
title = {Non-smoothable four-manifolds with cyclic fundamental group},
author = {Stefan Friedl and Ian Hambleton and Paul Melvin and Peter Teichner},
journal= {arXiv preprint arXiv:math/0611077},
year = {2007}
}
备注
We strengthened the statement of Corollary 1.4 and deleted the remark right after Corollary 1.4