New examples of topologically slice links
Geometric Topology
2023-09-11 v2
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 -solvable, where we require that the infecting string link have vanishing pairwise linking numbers, which can be seen as handling an additional ``-solvable'' case of a well-known result about the relationship between satellite operations and the solvable filtration of Cochran-Orr-Teichner.
Cite
@article{arxiv.2306.11594,
title = {New examples of topologically slice links},
author = {Alex Manchester},
journal= {arXiv preprint arXiv:2306.11594},
year = {2023}
}
Comments
15 pages, 13 figures