#### Volume 17, issue 3 (2017)

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Equivariant corks

### Dave Auckly, Hee Jung Kim, Paul Melvin and Daniel Ruberman

Algebraic & Geometric Topology 17 (2017) 1771–1783
##### Abstract

For any finite subgroup $G$ of $SO\left(4\right)$, we construct a contractible $4$–manifold $C$, with an effective $G$–action on its boundary, that can be embedded in a closed $4$–manifold so that cutting $C$ out and regluing using distinct elements of $G$ will always yield distinct smooth $4$–manifolds.

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##### Keywords
corks, smooth structures on 4-manifolds
Primary: 57M99
Secondary: 57R55