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Abelian invariants of doubly slice links

Abelian invariants of doubly slice links

We provide obstructions to a link in S^3 arising as the cross section of any number of unlinked spheres in S^4 . 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 …