Strong corks derived from the Akbulut cork
Geometric Topology
2026-02-24 v2
Abstract
We prove that the boundaries of the corks introduced by Auckly, Kim, Melvin, and Ruberman in [AKMR14] and by Tange in [Tan16] 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 introduced by Alfieri, Dai, Mallick, and Taniguchi in [ADMT23].
Cite
@article{arxiv.2601.02230,
title = {Strong corks derived from the Akbulut cork},
author = {Tateaki Mukohara},
journal= {arXiv preprint arXiv:2601.02230},
year = {2026}
}
Comments
21 pages, 26 figures