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arXiv · 1308.6372

Smoothly slice boundary links whose derivative links have nonvanishing Milnor invariants

Hye Jin Jang·Min Hoon Kim·Mark Powell
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Abstract

We give an example of a 3-component smoothly slice boundary link, each of whose components has a genus one Seifert surface, such that any metaboliser of the boundary link Seifert form is represented by 3 curves on the Seifert surfaces that form a link with nonvanishing Milnor triple linking number. We also give a generalisation to m-component links and higher Milnor invariants. We prove that our examples are ribbon and that all ribbon links are boundary slice.

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Hye Jin Jang, Min Hoon Kim, Mark Powell. 2015-07-01. Smoothly slice boundary links whose derivative links have nonvanishing Milnor invariants. https://arxiv.org/abs/1308.6372

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