New examples of topologically slice links

In 2007, Cochran–Friedl–Teichner gave sufficient conditions for when a link obtained by multi-infection 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 [Formula: see text]-solvable, where we require that the infecting string link have vanishing pairwise linking numbers, which can be seen as handling an additional “[Formula: see text]-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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Publication Details

Journal
Journal of Knot Theory and Its Ramifications
Published
2025-05-02
DOI
https://doi.org/10.1142/s0218216525500439
Primary Topic
Geometric and Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00
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article

New examples of topologically slice links

Alex Manchester
Journal of Knot Theory and Its Ramifications
Geometric and Algebraic Topology
article

New examples of topologically slice links

Alex Manchester
article en

Abstract

In 2007, Cochran–Friedl–Teichner gave sufficient conditions for when a link obtained by multi-infection 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 [Formula: see text]-solvable, where we require that the infecting string link have vanishing pairwise linking numbers, which can be seen as handling an additional “[Formula: see text]-solvable” case of a well-known result about the relationship between satellite operations and the solvable filtration of Cochran–Orr–Teichner.

Journal of Knot Theory and Its RamificationsVol. 34(10)
Sapporo Science Center (JP)
Openalex Percentile: Top 86%
Geometric and Algebraic Topology
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