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arXiv · 2306.11594

New examples of topologically slice links

Alex Manchester
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Abstract

In 2007, Cochran-Friedl-Teichner gave sufficient conditions for when a multi-infection link is topologically slice involving a Milnor's invariant condition on the infecting string link. In this paper, we give a different Milnor's invariant condition which can handle some cases which the original theorem cannot. Along the way, we also give sufficient conditions for a multi-infection to be $(n-0.5)$-solvable, where we require that the infecting string link have vanishing pairwise linking numbers, which can be seen as handling an additional ``$(-0.5)$-solvable'' case of a well-known result about the relationship between satellite operations and the solvable filtration of Cochran-Orr-Teichner.

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Alex Manchester. 2023-06-20. New examples of topologically slice links. https://arxiv.org/abs/2306.11594

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