A link in the –sphere is called (smoothly) slice if its components bound disjoint smoothly embedded disks in the –ball. More generally, given a –manifold with a distinguished circle in its boundary, a link in the –sphere is called –slice if its components bound in the –ball disjoint embedded copies of . A –manifold is constructed such that the Borromean rings are not –slice but the Hopf link is. This contrasts the classical link-slice setting where the Hopf link may be thought of as “the most nonslice” link. Further examples and an obstruction for a family of decompositions of the –ball are discussed in the context of the A-B slice problem.
"“Slicing” the Hopf link." Geom. Topol. 19 (3) 1657 - 1683, 2015. https://doi.org/10.2140/gt.2015.19.1657