Corks, Plugs and exotic structures

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.

43 pages, 61 figures, published version

References in corpus (4)

• The Dolgachev Surface
• Elliptic surfaces without 1-handles
• A note on Stein fillings of contact manifolds
• Small exotic Stein manifolds

Cited by in corpus (2)

• The Dolgachev Surface
• Small exotic Stein manifolds