Equivariant Corks

Abstract

For suitable finite groups G, we construct contractible 4-manifolds C with an effective G-action on $\partial C$ whose associated pairs (C,g) for all $g\in G$ are distinct smoothings of the pair $(C,\partial C)$. Indeed C embeds in a 4-manifold so that cutting out C and regluing using distinct elements of G yield distinct smooth 4-manifolds.

9 pages, 3 figures

References in corpus (2)

• Corks, Plugs and exotic structures
• Finite order corks

Cited by in corpus (2)

• Infinite order corks via handle diagrams
• Group actions, corks and exotic smoothings of R^4