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Non-concordant 2-links in simply-connected 4-manifolds
Abstract
We construct an infinite family of smooth 2-component links of 2-spheres Σk⊂ S2× S2 whose respective components are smoothly concordant but which are pairwise not topologically concordant in any topological ℤ-homology cobordism. In particular, the Σk are pairwise non-concordant in (S2× S2)×[0,1].
Related
- On the mapping class groups of simply connected smooth 4-manifolds
- Self-intersecting sections of polar actions on simply connected manifolds
- Topological mapping class groups of non-simply connected 4-manifolds
- Mapping class groups of simply connected closed spin 5-manifolds with no 2- and 3-torsion in homology
- Non-simply connected Poincaré surgery
BibTeX
@misc{miller2026nonconcordant,
title = {{Non-concordant 2-links in simply-connected 4-manifolds}},
author = {Maggie Miller and Ryan Stees},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.38979},
eprint = {2610.38979},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.38979},
}
RIS
TY - UNPB
TI - Non-concordant 2-links in simply-connected 4-manifolds
AU - Maggie Miller
AU - Ryan Stees
PY - 2026
DA - 2026/10/28
PB - arXiv
DO - 10.48550/arxiv.2610.38979
UR - https://arxiv.org/abs/2610.38979
AB - We construct an infinite family of smooth 2-component links of 2-spheres Σ_k⊂ S^2× S^2 whose respective components are smoothly concordant but which are pairwise not topologically concordant in any topological ℤ-homology cobordism. In particular, the Σ_k are pairwise non-concordant in (S^2× S^2)×[0,1].
ER -