New examples of topologically slice links
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.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2023
- DOI:
- 10.48550/arXiv.2306.11594
- arXiv:
- arXiv:2306.11594
- Bibcode:
- 2023arXiv230611594M
- Keywords:
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- Mathematics - Geometric Topology;
- 57K10 (Primary);
- 57N70 (Secondary)
- E-Print:
- 15 pages, 13 figures