Strong corks derived from the Akbulut cork
Abstract
We prove that the boundaries of the corks introduced by Auckly, Kim, Melvin, and Ruberman and by Tange are strong corks. Furthermore, we prove that any nontrivial linear combination of them yields a strong cork, and we construct a larger family of strong corks that generalizes them. These results rely on the instanton-theoretic invariant \(r_s\) introduced by Alfieri, Dai, Mallick, and Taniguchi.
Fields of Study & Subjects
Geometric and Algebraic Topology
Mathematical Dynamics and Fractals
Advanced Topology and Set Theory
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 5 January 2026
- Document type
- Preprint