#### Volume 22, issue 5 (2018)

 Recent Issues
 The Journal About the Journal Subscriptions Editorial Board Editorial Interests Editorial Procedure Submission Guidelines Submission Page Ethics Statement Author Index To Appear ISSN (electronic): 1364-0380 ISSN (print): 1465-3060 Other MSP Journals
Exotic open $4$–manifolds which are nonleaves

### Carlos Meniño Cotón and Paul A Schweitzer

Geometry & Topology 22 (2018) 2791–2816
##### Abstract

We study the possibility of realizing exotic smooth structures on finitely punctured simply connected closed $4$–manifolds as leaves of a codimension-one foliation on a compact manifold. In particular, we show the existence of uncountably many smooth open $4$–manifolds which are not diffeomorphic to any leaf of a codimension-one ${C}^{2}$ foliation on a compact manifold. These examples include some exotic ${ℝ}^{4}$’s and exotic cylinders ${S}^{3}×ℝ$.

However, your active subscription may be available on Project Euclid at
https://projecteuclid.org/gt

We have not been able to recognize your IP address 35.175.200.4 as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

or by using our contact form.

##### Keywords
exotic $\mathbb{R}^4$, nonleaves, codimension-one foliations
##### Mathematical Subject Classification 2010
Primary: 37C85, 53C12, 57R30
Secondary: 57R55