New Constructions of Slice Links

TL;DR

This paper introduces new methods for constructing slice links using Freedman and Teichner's techniques, expanding the understanding of when multi-infections preserve sliceness in link theory.

Contribution

It provides a general framework for proving links are slice, encompassing many previous results and extending the theory to new constructions.

Findings

Multi-infection of a slice link can be slice under certain conditions

The paper generalizes existing results on slice links

Includes non-smooth sliceness cases

Abstract

We use techniques of Freedman and Teichner to prove that, under certain circumstances, the multi-infection of a slice link is again slice (not necessarily smoothly slice). We provide a general context for proving links are slice that includes many of the previously known results.