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.
Authors
- Alex Manchester (ORCID: https://orcid.org/0000-0001-9497-5068)
Institutions
- Sapporo Science Center (JP)
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