Corks, Plugs and exotic structures

Details Corks, Plugs and exotic structures Corks, Plugs and exotic structures

2008-06-18

arxiv.org/abs/0806.3010v3

Journal of Gokova Geometry Topology, Volume 2 (2008) 40-82

Mathematics

Geometric Topology

43 pages, 61 figures, published version

Scientific paper

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.

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