English

Corks, Plugs and exotic structures

Geometric Topology 2009-01-07 v3

Abstract

We discuss corks, and introduce new objects which we call plugs. Though plugs are fundamentally different objects, they also detect exotic smooth structures in 4-manifolds like corks. We discuss relation between corks, plugs and rational blow-downs. We show how to detect corks and plugs inside of some exotic manifolds. Furthermore, we construct knotted corks and plugs.

Keywords

Cite

@article{arxiv.0806.3010,
  title  = {Corks, Plugs and exotic structures},
  author = {Selman Akbulut and Kouichi Yasui},
  journal= {arXiv preprint arXiv:0806.3010},
  year   = {2009}
}

Comments

43 pages, 61 figures, published version

R2 v1 2026-06-21T10:52:05.235Z