Year: 2025
Type: article
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.
Author: Alex Manchester
Institution: Stanford University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: National Science Foundation
OpenAlex ID: W4410039877