A family of freely slice good boundary links
Jae Choon Cha, Min Hoon Kim, Mark Powell
TL;DR
This paper proves that certain boundary links with specific derivative links are freely slice, extending previous methods and introducing new freely slice links in knot theory.
Contribution
It introduces a general criterion for freely slicing good boundary links with two components, unifying and expanding prior techniques.
Findings
All good boundary links with suitable derivative links are freely slice.
The method subsumes previous approaches for multiple-component links.
New examples of freely slice links are constructed.
Abstract
We show that every good boundary link with a pair of derivative links on a Seifert surface satisfying a homotopically trivial plus assumption is freely slice. This subsumes all previously known methods for freely slicing good boundary links with two or more components, and provides new freely slice links.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory