Algebraic concordance groups for links

Gaëtan Simian

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arXiv · 2607.25931

Algebraic concordance groups for links

Gaëtan Simian

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Abstract

We use families of generalized Seifert matrices to define algebraic concordance groups for links with non trivial Alexander polynomial. We then use these groups to recover the invariance by concordance of the signature, the Fox-Milnor condition for concordant links and the invariance by concordance of the Witt class of the Blanchfield pairing for links. Finally, we use these invariants to investigate the isomorphism types of these groups.

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Gaëtan Simian. 2026-07-28. Algebraic concordance groups for links. https://arxiv.org/abs/2607.25931

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