A family of non-split topologically slice links with arbitrarily large smooth slice genus
JungHwan Park, Arunima Ray
TL;DR
This paper constructs an infinite family of topologically slice 2-component boundary links with arbitrarily large smooth slice genus, demonstrating new complexity in the relationship between topological and smooth concordance.
Contribution
It introduces a novel family of topologically slice links with unbounded smooth slice genus, showing they are not smoothly concordant to split links.
Findings
Constructed infinite family of such links
Proved none are smoothly concordant to split links
Established unbounded smooth slice genus
Abstract
We construct an infinite family of topologically slice 2--component boundary links , none of which is smoothly concordant to a split link, such that .
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