• Corpus ID: 231693187

Abelian invariants of doubly slice links

@inproceedings{Conway2021AbelianIO,
  title={Abelian invariants of doubly slice links},
  author={Anthony Conway and Patrick Orson},
  year={2021}
}
We provide obstructions to a link in S3 arising as the cross section of any number of unlinked spheres in S4. 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. 

Figures from this paper

Stabilization and satellite construction of doubly slice links
A 2-component oriented link in S3 is called weakly doubly slice if it is a cross-section of an unknotted sphere in S4, and strongly doubly slice if it is a cross-section of a 2-component trivial

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