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

Maggie Miller; Ryan Stees

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arXiv · 2610.38979

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

Maggie Miller·Ryan Stees

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Abstract

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

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Maggie Miller, Ryan Stees. 2026-10-28. Non-concordant 2-links in simply-connected 4-manifolds. https://arxiv.org/abs/2610.38979

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