2019/02/07 by Paul Melvin, Melvin, Paul, Hannah Schwartz +1 · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals
paper · pdf · doi:10.48550/arxiv.1902.02840
openalex publication_date 2019/02/07 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28
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.