We provide obstructions to a link in arising as the cross section of any number of unlinked spheres in . Our obstructions arise from the multivariable signature, the Blanchfield form and generalised Seifert matrices. We also obtain obstructions in the case of surfaces of higher genera, leading to a lower bound on the doubly slice genus of links.
Cite this article
Anthony Conway, Patrick Orson, Abelian invariants of doubly slice links. Enseign. Math. 68 (2022), no. 3/4, pp. 243–290DOI 10.4171/LEM/1029