Authors: Paul Melvin and Hannah Schwartz
Source: Inventiones mathematicae. (2020).
Publication type: Article
Abstract: It is shown that any finite list of smooth closed simply-connected 4-manifolds homeomorphic to a given one X can be obtained by removing a single compact contractible submanifold (or cork) from X, and then regluing it by powers of a boundary diffeomorphism. We then use this result to 'separate' finite families of corks embedded in a fixed 4-manifold.