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On the detection of knots by their traces in high dimensions

Bais, Valentina et al.
arXiv (All) · Papers
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57k10geometric-topology
For every $n \geq 4$, we demonstrate the existence of non-isotopic, smooth $(n-2)$-knots in $S^n$ with diffeomorphic traces. We give two proofs: the first by generalising the RBG link construction to all dimensions, and the second as an application of work of Plotnick. Conversely, we prove that for
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