Non-concordant 2-links in simply-connected 4-manifolds

Abstract

We construct an infinite family of smooth 2-component links of 2-spheres ${\Sigma }_k\subset S^2\times S^2$ whose respective components are smoothly concordant but which are pairwise not topologically concordant in any topological $\mathbb{Z}$-homology cobordism. In particular, the ${\Sigma }_k$ are pairwise non-concordant in $(S^2\times S^2)\times [0,1]$.

arXiv comment10 pages, 2 figures