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Higher dimensional links are singular slice

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Abstract.

We show that for \(n \geq 2\) all links of embedded n-spheres in \(S^{n+2}\) are singular slice, i.e. bound pairwise disjoint (but not embedded) n+1-disks in \(D^{n+3}\). The proof relies on a careful analysis of immersions in codimension two, that allows us to work in a nilpotent setting.

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Received October 21, 1999 / Accepted October 12, 2000 / Published online March 12, 2001

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Bartels, A. Higher dimensional links are singular slice. Math Ann 320, 547–576 (2001). https://doi.org/10.1007/PL00004486

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  • DOI: https://doi.org/10.1007/PL00004486

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