English

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 (n0.5)(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)(-0.5)-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

R2 v1 2026-06-28T11:09:44.943Z