3 papers
math.GT2026
A note on smoothly slice links in
Marco Marengon, Clayton McDonald
We give an alternative proof of a result of Miyazaki and Yasuhara that there exists links that are not smoothly slice in . We discuss potential applications to the…
math.GT2025
Splitting links by integer homology spheres
Marco Golla, Marco Marengon
For every , we construct 2-component links in that are a split by an integer homology -sphere, but not by . In the special case , i.e. that of 2-lin…
math.GT2024
Smoothly slice links in
Marco Marengon, Clayton McDonald
We show that there exists a link with 2 components which is not smoothly slice in . By contrast, it is well-known that every knot (i.e.,…